Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) shifted 5 units down.
B. The graph of g(x) is the graph of f(x) shifted 5 units up.
C. The graph of g(x) is the graph of f(x) shifted 5 units to the right.
О
D. The graph of g(x) is the graph of f(x) shifted 5 units to the left.
Answers
Answer:
B
Step-by-step explanation:
The correct statement is, the graph of g(x) is the graph of f(x) shifted 5 units up.
What is vertical shifting?In geometry, a vertical shift otherwise known as vertical translation, is a translation of a geometric object in a direction parallel to the vertical axis of the Cartesian coordinate system. In simpler terms, it is a shift in which a plane figure moves vertically.
Given that g(x) = f(x) + 5. We need to find that which statement best compares the graph of g(x) with the graph of f(x),
So,
If f is any function of x, then the graph of the function f(x) + c, may be obtained by a vertical translation of the graph of f(x) by distance c.
For this reason, the function f(x) + c is sometimes called a vertical translate of f(x).
Hence, the correct statement is, the graph of g(x) is the graph of f(x) shifted 5 units up.
Learn more about vertical shifting click;
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Related Questions
Write 0.76 as a fraction.
Answers
Answer:
76/99
Step-by-step explanation:
76 ÷ 99 = 0.767676....
Answer:
19/25 is the fraction of 0.76
Step-by-step explanation:
its 0.76
Select all the sets of numbers to which the following real numbers belongs:
✓ 64
Real Numbers
Irrational Numbers
Rational Numbers
Integers
Whole Numbers
Natural Numbers
Answers
Integers.
The integers are the whole numbers, their opposites, and 0 . From the given numbers, −7 and 8 are integers. Also, notice that 64 is the square of 8 so −√64=−8 . So the integers are −7,8,−√64 − 7 , 8 , − 64 .
Need Help, with steps
Answers
Answer:
It is C
Step-by-step explanation:
PM = QM
[tex]6x - 8 = 2x + 4 \\ 6x - 2x = 4 + 8 \\ 4x = 12 \\ x = 3[/tex]
Answer:
C.) x = 3
Step-by-step explanation:
The diagonals of a rectangle are equal, and QM and PM are both half of the two diagonals. You can now say that 2 * (6x - 8) = 2 * (2x + 4), meaning that 12x - 16 = 4x + 8, where you can add 16 on both sides, then subtract by 4x on both sides to get that 8x = 24. Now divide by 8 on both sides to get that x = 3.
Angle sum theorem. X=?
Answers
Answer:
x = 125
Step-by-step explanation:
All triangle interior angles add up to 180 so:
x + 25 + 30 = 180
x + 55 = 180
x = 180 - 55
x = 125
HELP ME PLS THIS NEEDS TO BE DONE TONIGHT AND TURNED IN TOMORROW The Hamiltons are paving their driveway. They are paving a rectangular area and an area in the shape of a parallelogram to make it easier to turn around and pull out of the driveway. A sketch of the plan for their driveway uses a scale of 1 in. for every 3 ft. What is the actual area of the entire driveway they want to pave?
Answers
Answer:
1350 ft²
Step-by-step explanation:
First off, I notice that the triangle at the bottom can fit the slant at the top to make a perfect rectangle.
This will leave us with a rectangle. We can add up 4 and 5 for the sum of 9, making one side 9 inches.
5 + 4 = 9 in
We multiply 9 by 3 to get the actual length of that side
9 x 3 = 27 ft.
We multiply 16 and two-thirds by 3 to get the actual length of the other side
[tex]16\frac{2}{3}[/tex] x 3 = 50 ft.
To find the area of this rectangle we multiply length and width
50 x 27 = 1350 ft²
s = n(a+1) for a
please answer asap
Answers
Step-by-step explanation:
for a=
[tex] \frac{s - n}{n} [/tex]
What values on a number line will give me the absolute
value of 3?
Answers
Write a variable expression for each of following situations. Use b to represent "a full box of pencils.
a. A full box of pencils with 3 extra pencils.
b. Three full boxs of pencils.
Answers
Answer:
a. b + 3 extra pencils
b. 3b
Hope that's correct
convert into decimal number 123
Answers
Answer:
the convert into decimal number
1.2.3 ans . 1111011
+
question main point lagana hai
ok friend aap photo mein dekh sakte hain yah question Kis Tarah Se solve Hua Hai only Kisne point lagana hai ok
Step-by-step explanation:
ok friend please like and comments by
Which answer choice correctly shows 343 written as a Roman numeral?
A. CCCVLIII
B.CCCXLII
C.CCCXLIII
D.CCCXXXXIII
Answers
Answer:
C.(CCCXLIII)
Step-by-step explanation:
Can someone plz help me?
Answers
Answer:
C 6 loaves with flour left over
Step-by-step explanation:
Take the amount of flour and divide by the amount of flour per loaf
9/2 ÷ 2/3
Copy dot flip
9/2 * 3/2
27/4
Change to a mixed number
4 goes into 27 6 times with 3 left over
6 3/4
Answer:
He can make 6 loafs and he would have 1/6 cups of flour left
Step-by-step explanation:
Please help ???????????????????
Answers
Answer:
Step-by-step explanation:
español?
no se yo no halo español :v
select the correct answer
which of these graphs represents a function?
Answers
If y varies inversely as x squaredand y = 6 when x = 30, what is y when x = 6?
Answers
Answer:
150 is write answer
Step-by-step explanation:
mark me a brainlist
Answer:
y = 150
Step-by-step explanation:
Given that y varies inversely as x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of variation
To find k use the condition y = 6 when x = 30 , then
6 = [tex]\frac{k}{30^2}[/tex] = [tex]\frac{k}{900}[/tex] ( multiply both sides by 900 )
5400 = k
y = [tex]\frac{5400}{x^2}[/tex] ← equation of variation
When x = 6 , then
y = [tex]\frac{5400}{6^2}[/tex] = [tex]\frac{5400}{36}[/tex] = 150
Jaulas father throws Kayla a graduation party that costs $773. He pays the DJ $250, $75 for the cake, and $4 per party guest for food. How many guests were at the party?
Answers
Answer:
112 guests
Step-by-step explanation:
I. If her total cost is 773$
When Total = DJ + Cake + Guest
773 = 250 + 75 + 4(x)
773 = 325 + 4(x)
773 - 325 = 4(x)
448 = 4x
x = 448/4
x = 112
That makes guests are 112
Which statements about the function are true? Select two options.
The vertex of the function is at (1,–25).
The vertex of the function is at (1,–24).
The graph is increasing only on the interval −4< x < 6.
The graph is positive only on one interval, where x < –4.
The graph is negative on the entire interval
–4 < x < 6.
Answers
Answer:
Step-by-step explanation:
x-intercept(s):
( − 4 , 0 ) , ( 6 , 0 )
y-intercept(s):
( 0 , − 24 )
Answer:1 and 2
Step-by-step explanation:right on edge
Find the area of parallelogram A.
Do not include units (square units) in your answer.
Answers
i can show u the rule but it must be equal a square unit
Let a and b be positive integers. 239 x 23
Answers
Answer:
A
Step-by-step explanation:
a^m * a^n = a^(m+n) so 23^a * 23^b = 23^(a+b)
y = 3 • 5x
what is the domain and the range
Answers
Amela put 15x- 4 gallons of gas in her car at the beginning of the week. She used 7x-3 gallons driving to work. Which of the following choices represents the
number of gallons left in her car?
A) 22x+7
B) 22x-7
C) 8x+1
D) 8x-1
Answers
Answer:
D) 8x - 1
Step-by-step explanation:
Let's say that x = 5. That would mean Amelia put 15(5) - 4 gallons of gas in her car, which equals 71 gallons. She used 7(5) - 3 gallons driving to work, which is 32 gallons used. 71 - 32 = 39 gallons left.
What else equals 39, you might ask?
8(5) - 1
40 - 1
39.
Answer:
D is the answer
Step-by-step explanation:
Which proportion can be used to find 65% of 90?
�� 6590 = x100
�� 65x = 90
100
�� 65
100 = x90
�� x100 = 9065
Answers
Answer:
58.5
Step-by-step explanation:
0.65 decimal form
then times that by 90
then you got the answer 58.5
Find total number of solutions of [x]^2= x + 2 {x}, where (.) and {.} denotes the greatest integer
function and fractional part.
Answers
Answer:
Step-by-step explanation:
There are only 5 solutions:
x=-1
x=-1/3
x=0
x=1
x=8/3
See the graph
In blue: y=[x]²
In red : y=x+2(x-[x])
The length of each side of an equilateral triangle having an area of 9√3 cm² is
Answers
Answer:
6 cm
Step-by-step explanation:
Let each side of the equilateral triangle be a.
Given, area of an equilateral triangle = 9√3 cm2
Area of an equilateral triangle = (√3)/4 × (Side)²
=> (√3)/4 × a² = 9√3
[tex] {a}^{2} = \frac{9 \sqrt{3} }{ \frac{ \sqrt{3} }{4} } = \frac{9 \sqrt{3} }{ \sqrt{3} } \times 4 = 9 \times 4[/tex]
=> a² = 36
[tex] \sqrt{ {a}^{2} } = \sqrt{36} \\ a = (+ - )6[/tex]
∴ Side = 6 cm [taking positive square root because side is always positive]
A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x +8. Which expression represents the lenght of the garden?
Answers
Answer:
creo que es la respuesta 8× +8=72
0.21212121… as a fraction
Answers
Work Shown:
x = 0.212121...
100x = 21.212121....
Subtract the equations straight down. This means we subtract the left hand sides together, and the right hand sides are handled separately.
Left hand sides: 100x-x becomes 99xRight hand sides: 21.212121.... - 0.212121... becomes 21After those sets of subtractions, we are left with 99x = 21.
This solves to x = 21/99 when dividing both sides by 99 to isolate x.
Therefore, 21/99 = 0.212121...
ROCKET SLED On a track at an Air Force base in New Mexico, a rocket sled
travels 3 miles in 6 seconds. What is the average speed in miles per hour?
Answers
Answer:
Answer: Rocket distance (rocket sled) =3 mil Time Taken=6seconds
Average Speed=Total Distance ÷ Time Taken. Average speed= 3÷ 6=1/2. So therefore average speed in miles per seconds= Average in miles/seconds
Average speed in miles per seconds=1/2
Average in miles/hour = Average speed in miles per seconds/hour.
Average in miles/hour=1/2÷60=30
Therefore Average speed in miles per hour =30 miles per hour
is 16 a natural, whole, integer, rational or irrational number?
Answers
Answer:
16 is a natural, whole and integer
Step-by-step explanation:
16 is a natural, whole and integer
it is not rational or irrational because
rational numbers are written in p/q as well as irrational
natural numbers start from 1 till infinite
whole numbers start from 0 to infinite
integers include all the positive and negative numbers
how many equal side does a isosceles triangle have
Answers
Answer:
isosceles traingle have two equal side
the data set below shows the weight in pounds of pumkins what is the mean of the following set of data
7, 5, 9, 5, 12
Answers
Answer:
the mean is 7.6 how you find the mean is u add all the numbers together then divide it by how many numbers are there
the median is 7
and the mode is 5
Step-by-step explanation:
The work of a student to solve the equation 3(3y - 8) = 10 + 3y is shown below:
Step 1: 3(3y - 8) = 10 + 3y
Step 2: 6y - 5 = 10 + 3y
Step 3: 3y - 5 = 10
Step 4: 3y = 15
Step 5: y = 5
In which step did the student first make an error and what is the correct step?
Step 2: 9y - 24 = 10 + 3y
Step 2: 6y + 11 = 10 + 4y
O Step 3: 6y - 8 = 3(6 + y)
O Step 3: 3(3y - 8) = 7 + y
You must check the box below prior to submitting your exam!
Answers
Answer:
Step 2; error
Step-by-step explanation:
The correct; 9y-24=10+3y
9y-3y=24+10
6y=34
y=5.66
I hope I helped you^_^