The function g(x) is a transformation of the cube root parent function,
f(x)=√. What function is g(x)?
-5
1
5
f(x)
g(x)
O
5
1
1
A. g(x)=√x +4-3
OB. g(x)=√x-3-4
C. g(x)=√x + 3-4
D. g(x)=√x-4-3
Answers
We have a translation 3 units downwards and 4 units to the right. So the equation is:
g(x) = ∛(x - 4) - 3
What is the equation for the function g(x)?
We know that g(x) is a transformation of the parent cube function, which is f(x) = ∛x
If we look at the image, we can see that the graph of g(x) is exactly like the graph of f(x), but translated 3 units downwards and 4 units to the right.
A vertical translation of N units is written as:
g(x) = f(x) + N
if N > 0, the translation is upwards.If N <0, the translation is downwards.A translation of 3 units downwards is written as:
g(x)= f(x) - 3
A horizontal translation of N units is written as:
g(x) = f(x + N)
if N > 0, the translation is to the left.If N <0, the translation is to the right.Then a translation of 4 units to the right is:
g(x) = f(x - 4) - 3
Replacing the function f(x) we get:
g(x) = ∛(x - 4) - 3
That is the transformed function. So the correct option is D
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Related Questions
6x^3 +8x^2 – 4x
I need help now ‼️‼️‼️‼️‼️‼️
Answers
Answer:
Are there any answers??
Step-by-step explanation:
HELPPPPP MEEEEEEE PLSSSS
Math assignment
Answers
Answer:
$16 for lunch
$4 for coffee
$12 left
Step-by-step explanation:
32/2 = 16
16 * 1/4 = 4
32 - (16 +4) = 12
Write the equation of the line PERPENDICULAR to x = -12 passing through (4,5)
Answers
Answer:
hope ithelps :)
Step-by-step explanation:
1) x=3 is a vertical line, so if you are looking for a line that is perpendicular you are looking for a horizontal line.
And horizontal lines go through the y-axis and have equations of y= a #
2)the point on the vertical line is (4,-5), it has a y-value of -5
****Every y value on a horizontal line will be the same
so the equation for a perpendicular line would be y= -5
A local band is being paid $250 for performing at a local concert. They also receive $2 for each ticket sold. The chart below shows the bands total pay for the first five tickets sold.
Write an expression that will calculate the band's total pay for x number of tickets sold.
How much money will the band make for selling 100 tickets?
How much money will the band make for selling 150 tickets?
Be sure to show all work PLEASE i need this
Answers
Answer:
Question 1-- $250+$2(100)= 350 dollars
Question 2-- $250+$2(150)= 400 dollars
Step-by-step explanation:
To calculate the band's total pay for x number of tickets sold, we can use the following expression Total pay [tex]= $250 + ($2 * x)[/tex] For example, if the band sells 100 tickets, the calculation would be: Total pay [tex]= $250 + ($2 * 100) = $250 + $200 = $450[/tex]
Therefore, the band would make $450 for selling 100 tickets. Similarly, if the band sells 150 tickets, the calculation would be: Total pay [tex]= $250 + ($2 * 150) = $250 + $300 = $550[/tex]
Hence, the band would make $[tex]550[/tex]for selling 150 tickets. This expression takes into account the fixed payment of $[tex]250[/tex] for the band's performance and an additional $2 for each ticket sold. By multiplying the number of tickets sold (x) by $2 and adding it to the fixed payment, we can calculate the band's total earnings.
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A set of speakers costs $22 and songs cost $1.25 each. The sales tax rate is 7.5%. The expression 0.075(22 + 1.25s) can be used to determine the amount of sales tax due on the entire purchase. Expand the expression and round to the nearest hundredth. Drag numbers complete the expression. Numbers may be used once, more than once, or not at all. 0.090.50.971.251.451.6567.5 + s
Answers
Answer:
1.65 + 0.09s
Step-by-step explanation:
Given that :
Cost of speaker = $22
Cost per song = $1.25
Sales tax rate = 7.5%
Expression to obtain the amount of sales tax on entire purchase : 0.075(22 + 1.25s)
Expanding the expression :
0.075(22 + 1.25s)
(0.075 * 22) + (0.075 * 1.25s)
1.65 + 0.09375s
Rounding to the nearest hundredth :
Sales tax on entire purchase :
1.65 + 0.09s
Select the correct answer from the drop-down menu. In the figure, if CD = 15 cm, then BC ≈ ___ cm.
A. 6.6
B. 11
C. 21.6
D. 34.7
Answers
The cost of a television with remote control is $649. This amount is $125 more than the cost without remote control. Find the cost of the television without remote control. Write an equation. Then solve the equation.
Answers
The equation for the cost of the television without remote control is x = 649 + 125 and its solution is $774.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now it is given that,
Cost of television with remote control = $649
It is also given that this amount is $125 more than the cost without remote control.
Suppose x be the cost of television without remote control.
Thus, x = 649 + 125
⇒ x = 774
Thus, the equation for the cost of the television without remote control is x = 649 + 125 and its solution is $774.
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if the interest of a sum at 7.5% p.a in 4 years is rs 1050, find the sum
Answers
formula p= 100 I/RT
100×1050÷7.5×4
105000÷30
p= sh 3500
How do you graph Y=1.2x-4 ?
Answers
Step-by-step explanation:
Use the y=mx+b reference
the b refers to the y intercept which in your case is -4
so on the graph you would put -4 on the y line so at (0,-4)
Then the m or the slope which is 1.2 means from the point (0,-4) you move 1.2 units up and 1 unit to the right forever to create your line so you continuously move 1.2/1 and -1.2/-1
The required, graph of the linear equation y = 1.2x-4 is shown in the image attached below.
To graph the equation y = 1.2x - 4:
Set up the coordinate plane with the x and y axes.Label the axes as "x" and "y" with numerical markers.Plot the y-intercept: When x = 0, y = 1.2 * 0 - 4 = -4. Plot the point (0, -4).Identify the slope: The coefficient of x is 1.2, which represents the slope.Use the slope to find another point: Starting from (0, -4), move 1 unit to the right (increase x by 1) and 1.2 units upward (increase y by 1.2). Plot the point (1, -2.8).Draw a straight line through the two points you plotted.The graph of Y = 1.2x - 4 will be a straight line that passes through the points (0, -4) and (1, -2.8), and it will continue infinitely in both directions. The line will slope upwards from left to right with a slope of 1.2.
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If h = -3, which inequality is true?
Answers
Answer:
D
Step-by-step explanation:
3 - h <10
3 - (-3) < 10
3+ 3 < 10
6 < 10
Answer:3-h<10
Step-by-step explanation:
Simplify:
5x2 – x + 9 = [?]
x=3
Enter
Answers
Answer:
The answer is 51
Step-by-step explanation:
What you need to do here is assign a value of 3 to x, and output the value. Let's see what we get:
[tex]5x^2 - x + 9\\5(3)^2 - (3) + 9\\5 * 9 + 6\\45 + 6\\51[/tex]
what is 5x98 (x343)=
Answers
Answer:
168,070
Step-by-step explanation:
Multiplication, 5 x 98 = 490. 490 x 343 = 168,070
What is 2/19 as a percentage?
Give your answer rounded to one decimal place.
Answers
Answer:
10.53%
Step-by-step explanation:
The first step is to divide 2 by 19 to get the answer in decimal form: 2 / 19 = 0.1053 Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.1053 * 100 = 10.53%
Answer:
11%
Step-by-step explanation:
Divide 2 by 19 and then move the decimal place twice to the right. It should be 10.5 but if rounded it becomes 11 so 11%
What is the measure of angle E?
10 points
B
130°
С
E
F
G
H
Answers
Answer:
E
Step-by-step explanation:
Its because of Corresponding angles.
Estimate the sum. 79.6 + 62.2 Use rounding to estimate the sum.
Answers
So rounded would be 142
finding rise and run
Answers
Answer:
Up 6 over 8, 6/8, or .75/100
Step-by-step explanation:
I'm not sure how to explain it but yeah I'm pretty sure this is it
Unit 1: Functions
For the function f(x) = (x + 3)2 – 4 Fill in the missing values in the table and describe the key characteristics of
the function below.
X
-8
-5
-4
-3
-2
-1
0
f(x)
0
-3
-4
-3
0
x-intercept(s):
y-intercept(s):
5
4
Domain (possible x-values): Rang e (possible
y-values):
2
-10
4 5 8
8010
Family:
Growth:
Vertex? If
Function? If yes, why?
Symmetry? If yes, where?
yes, where?
sa
Answers
Answer:
hey mate I don't know it's answer
Step-by-step explanation:
sorry!
do your homework at your own
Which measurement describes the following situation:
What is the minimum amount of paper needed to cover a
cylinder?
A.surface area
B.volume
C.circumference
D. perimeter
Answers
Answer:
VOLUME
Step-by-step explanation:
It is not surface area. I put that and it was WRONG!!!
The minimum amount of paper needed to cover a cylinder is its surface area.
What is Surface area of Cylinder?The surface area of a cylinder can be defined as the amount of space covered by the flat surface of the bases of the cylinder and the curved surface of the cylinder.
Here, we need to cover cylinder by paper
So, paper cover its whole surface area.
Thus, the minimum amount of paper needed to cover a cylinder is its surface area.
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Solve the equation by using the graph of the related function. Check your solution.
2x 3=3
Answers
The solution to the equation given as 2x - 3 = 3 is x = 3
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to solve the equation, graphically?The equation is given as
2x - 3 = 3
The above equation is a linear function
So, we plot a linear equation (see attachment)
On the attached graph, we can see that the solution is a vertical line that passes through x = 3
Hence, the solution to the equation given as 2x - 3 = 3 is x = 3
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What is the value of the 4 in the following number: 22.040
Answers
Answer:
4 hundreths or 0.04
Step-by-step explanation:
0.04
The tenths then the hundreths place comes after the tenths place
Find m. DCR if m. RCB= 115°
and m_ DCB = 169º.
Answers
Mandy created a treasure hunt in the sand at the beach. To keep track of where she buried four items, she graphed their locations in the coordinate plane.
Write the correct ordered pair to show the location of each item.
1. What is the location of item 1? Explain how you found its coordinates. Be sure to tell how you identified the sign of each coordinate.
Write your answer in the space below.
2. What is the location of item 2?
Write your answer in the space below.
3. What is the location of item 3?
Write your answer in the space below.
4. What is the location of item 4?
Write your answer in the space below.
PLEASE I NEED HELP ASAP!!
Answers
Answer:
1. (-3,3 ½)
2. (2.9,1) or (2 9/10,1)
3. (-1,-2.5) or (-1,2 1/2)
4. (1.9,-1) or 1 9/10,-1)
Step-by-step explanation:
Since some points were not directly on a line, they must have not been a whole number, so I estimated and used logical reasoning to get the coordinates of the items. Hope this helps.
4(3n-2)=show your work
Answers
Answer:
(2 n)/3-2/3 = n/6+4/3
(2 n)/3-2/3 = (2 n-2)/3:
(2 n-2)/3 = n/6+4/3
Put each term in n/6+4/3 over the common denominator 6: n/6+4/3 = n/6+8/6:
(2 n-2)/3 = n/6+8/6
n/6+8/6 = (n+8)/6:
(2 n-2)/3 = (n+8)/6
Multiply both sides by 6:
(6 (2 n-2))/3 = (6 (n+8))/6
6/3 = (3×2)/3 = 2:
2 (2 n-2) = (6 (n+8))/6
(6 (n+8))/6 = 6/6×(n+8) = n+8:
2 (2 n-2) = n+8
Expand out terms of the left hand side:
4 n-4 = n+8
Subtract n from both sides:
(4 n-n)-4 = (n-n)+8
4 n-n = 3 n:
3 n-4 = (n-n)+8
n-n = 0:
3 n-4 = 8
Add 4 to both sides:
3 n+(4-4) = 8+4
4-4 = 0:
3 n = 8+4
8+4 = 12:
3 n = 12
Divide both sides of 3 n = 12 by 3:
(3 n)/3 = 12/3
3/3 = 1:
n = 12/3
The gcd of 12 and 3 is 3, so 12/3 = (3×4)/(3×1) = 3/3×4 = 4:
Answer: | n = 4
Step-by-step explanation:
f(x) = 3x + 3; Find f(1)
Answers
Answer:
f(1) = 6
Step-by-step explanation:
You just substitute 1 for x, 3+3 = 6
Answer:
f(1)=3(1)+3 = 6
answer is 6
Step-by-step explanation:
what is the expression for f(x) when we rewrite 64^x/4^5x-1 as 4^f(x)
Answers
Answer: f(x)= -2x+1
Step-by-step explanation:
The expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
[tex]\frac{64^x}{4^{5x-1}}[/tex]
So,
Now, to rewrite in form of [tex]4^{f(x)}[/tex],
So,
Rewrite the given expression in the form of 4,
i.e.
[tex]\frac{64^x}{4^{5x-1}}[/tex]
[tex]=\frac{(4^3)^x}{4^{5x-1}}[/tex]
[tex]=\frac{(4^3x)}{4^{5x-1}}[/tex]
NOw,
Using Exponent rule,
We get,
[tex]=4^{3x-(5x-1)}=4^{3x-5x+1}[/tex]
On solving we get,
[tex]=4^{-2x+1}[/tex]
So,
[tex]4^{f(x)}=4^{-2x+1}[/tex]
Hence, we can say that the expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].
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The sum of two integers is 31. The larger of the two integers is 4 more than 2 times the smaller integer. What are the integers? 9 and 22 -22 and 53 allo -9 and 40 14 and 17
Answers
Answer:
x = 22 y = 9
Step-by-step explanation:
Let me know if you need an explanation! Hope this helped :)
almost 4 am! Imaooo
hiii
Answers
Answer:
hey hi what's up ?...........
What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?
can chose more than one
y=1/2x+
y=4x+1/2
y=3x+1/2
y=1/2x+5
Answers
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
I need help please,
Answers
Answer: -7
Step-by-step explanation:
trust me
Answer:
A) -7
Step-by-step explanation:
Simplify the expression.
-4/5 (x-3)= 1/2 (-2x+2)
-4/5 ((-7)-3)= 1/2 (-2(-7)+2)
8=8
Hey guys!
Does anyone know how to solve this?
c(1)=3, c(n)= −c(n−1)+1 for n≥2
I'll give you 25 pts!
Answers
The value of c from the given expression is -
Function and valuesGiven the following function
c(n)= −c(n−1)+1
Given the following parameters
c(1)=3
Substitute
3 = −c(3−1)+1
3 = -2c + 1
-2c = 3-1
-2c = 2
c = -1
Hence the value of c from the given expression is -1
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