We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.
For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:
g(x) = f(x + 2) + 4
----------------------------------
Let's see how to solve this.
We need to start by defining the two most common translations (also known as shifts).
Horizontal translation:
For a given function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
where if N is positive, the translation is to the left.
If N is negative, the translation is to the right.
Vertical translation:
For a given function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
Where if N is positive, the translation is upwards.
If N is negative, the translation is downwards.
Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.
The shift up of 4 units is written as:
g(x) = f(x) + 4
The shift of 2 units to the left is written as:
g(x) = f(x + 2)
These two together give:
g(x) = f(x + 2) + 4.
This is the equation we wanted to get.
If you want to learn more, you can read:
https://brainly.com/question/24401156
Trigonometry: True/False question posted on the image
Answer:
true
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
Area of a triangle = 1/2 x base x height
the perimeter of a triangle = sum of the side lengths
A right angled triangle has a 90 degree angle and two other sides that sum up to 90 degrees. this makes the sum of angles 180 degrees
⚠️WILL GIVE BRAINLIEST!!!
Answer: 42 Units Cubed
Step-by-step explanation:
Volume of a Prism is typically length * width * height
in the problem the 5 and 1/4 is the area of that base so it is is the height and width already multiplied
so now just multiply the length, which is 8, to the area of the base to find the volume
[tex]8*5\frac{1}{4} \\8*\frac{21}{4} \\2*21\\42[/tex]
Answer:
[tex]volume \: = cross sectional \: area \times height \\ = 5 \ \frac{1}{4} units {}^{3} \times 8units \\ = \frac{21}{4} \times 8 \ \\ = 42units {}^{3} [/tex]
PLEASE HELP ASAP
A cone's circular base has a diameter of 6 feet. The volume of the cone is 176 cubic feet. What is the approximate height of the cone?
Answer:
18.68 feet
Step-by-step explanation:
- Just did the quiz
- Also plugged it into a calculator I found online
Answer:
18.68 feet
Step-by-step explanation:
it passed the quiz
please help me
what is 11 1/4in 3 1/2in and 4 1/2in as whole numbers
Answer:
45/4 7/2 9/2
Step-by-step explanation:
I'm not sure if this is what you wanted so if its not sorry.
FOR BRAINLSIT!!!
A
B
C
D
Answer:
The 2nd option is correct
Step-by-step explanation:
The only numbers on a dice greater than 4 are 5 and 6, and we want to get the color blue, so the 2nd option is correct.
Answer:
Imma have to say B but I'm not sure
How do I evaluate:
(-1000)1/3
9514 1404 393
Answer:
-10
Step-by-step explanation:
The first step is to write what you mean. We think you mean (-1000)^(1/3).
If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...
-1000 = (-10)^3
Then your expression is ...
(-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10
__
Some calculators can evaluate this for you (see attached).
Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:
(-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10
_____
Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.
Jacey has 40 pizzas to sell in the concession
stand at a basketball game. Each pizza has
been cut into 8 slices of equivalent size. In the
first hour, Jacey sold 16% pizzas. In the second
hour, she sold 18 pizzas. How many pizzas
does Jacey have left to sell?
Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =
Answer: 6
Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c
14
23
22.7
Find the perimeter
PLZ HELL FAST WILL GIVE BRAINLIEST
Select all the correct equations.
Which equations have no real solution but have two complex solutions?
3x^2- 5x= -8
2x^2= 6x – 5
12x= 9x^2 + 4
-x^2– 10x = 34
[tex] {3x}^{2} - 5x = - 8 \\ {3x}^{2} - 5x + 8 = 0[/tex]
This equation has the next form:
[tex] {ax}^{2} + bx + c = 0[/tex]
To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:
[tex] {b}^{2} - 4ac \\ ( { - 5})^{2} - 4 \: . \: 3 \: . \: 8 = 25 - 96 = - 71 < 0[/tex]
Then, the first case has two complex solutions.
In the second case,
[tex] {2x}^{2} = 6x - 5 \\ {2x}^{2} - 6x + 5 = 0[/tex]
The discriminant in this case is:
[tex]( { - 6})^{2} - 4 \: . \: 2 \: . \: 5 = 36 - 40 = - 4 < 0[/tex]
Then, the second case has two complex solutions.
In the third case,
[tex]12x = {9x}^{2} + 4 \\ { - 9x}^{2} + 12x - 4 = 0[/tex]
The discriminant in this case is:
[tex] {12}^{2} - 4 \: . \: ( - 9) \: . \: ( - 4) = 144 - 144 = 0[/tex]
Then, the third case has two real solutions.
In the fourth case,
[tex] { - x}^{2} - 10x = 34 \\ { - x}^{2} - 10x - 34 = 0[/tex]
The discriminant in this case is:
[tex]( { - 10})^{2} - 4 \: . \: ( - 1) \: . \: ( - 34) = 100 - 136 = - 36 < 0[/tex]
Then, the fourth case has two complex solutions.
This shape has all identical faces and a surface area of 240 square meters. What is the area of each face?
A 120
B 80
C 60
D 30
what's 965 divided by 7
Answer:
137(the exact amount 137.8571428571429)
Step-by-step explanation:
If i did the Whole thing with paper it would take very long i used calculator instead
Answer:
137.857142857
Is the answer
Does anyone know what the answer?
Answer:
142
Step-by-step explanation:
180-10-28 = 142
hope this helps
Answer:
∡3=142°
Step-by-step explanation:
∠3 and 38° are supplementary angles, which means their sum must equal 180°, therefore, we make an equation and solve for ∡3:
∠3+38°=180°
∡3=142°
So ∡3=142°
69 POINTS PLS ACTUALLY ANSWER IT NEED THIS FAST The value of the expression 2/3+3/2-3x4-5/2 divided by 5+(7x4) is what?
Answer:
your answer is "17.6666666667"
Step-by-step explanation:
What is the angle of X
Answer:
∡x°=35°
Step-by-step explanation:
x° and 35° are vertical angles, so they are congruent to each other. Therefore, the measure of angle x° is also 35°
Question 2 of 10
Is AXYZ= AABC? If so, name the postulate that applies.
c
À X
Given:
ZYB
XY AB
YZ EBC
A
B
A. Congruent - SSS
B. Congruent - SAS
C. Might not be congruent
D. Congruent - ASA
The triangles XYZ and ABC are congruent by SAS postulate.
What is Congruence of Triangles?Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.
Given two triangles XYZ and ABC.
If the two triangles are congruent, their corresponding sides and angles must be equal.
Given,
∠Y = ∠B
XY ≅ AB
YZ ≅ BC
SAS congruence theorem states that if two sides and an included angle of a triangle is equal to corresponding two sides and an included angle of the other triangle, then they are congruent.
So, ΔXYZ ≅ ΔABC by SAS postulate.
Hence the two triangles are congruent by SAS postulate.
Learn more about Congruence of Triangles here :
https://brainly.com/question/20521780
#SPJ7
In a CPM network, the critical path has six activities: A, D, G, H, M, and O. (Use Excel) Determine the following probabilities: a) The probability that the project will finish by the end of day 64. b) The probability that the project will finish before day 60. c) The probability that the project will finish on day 62. d) The probability that the project will finish after day 70
Answer:
Hi how are you doing today Jasmine
Mrs. Bell wrote the expanded form of a number, as shown. 5 × 100 + 4 × 10 + 6 × 1 + 2 × (1___ 10)+ 8 × (1____ 1000)What is the number written in standard form?
Answer:
the question is worded incorrectly, but I believe the answer is 8566.
Step-by-step explanation:
Frank writes his name in both French and English with chalk, pen, pencil and marker. How many different ways did he write his name?
Answer:
8
Step-by-step explanation:
There are 4 possible ways he could have written it: chalk, pen, pencil, and marker.
There are 2 ways he wrote it: French and English
4*2=8
He wrote his name in 8 different ways.
Devin measured his basketball rim. The radius of the rim is 6 inches. What is the circumference of the rim?
is 1 5/6 a rational number or a iraarational
Answer: rational number
Step-by-step explanation:
Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written
I need help I’m in math class! Help please
Answer:
1350π [tex]cm^3[/tex] should be your answer
Step-by-step explanation:
15 x 15 x π = 225π
225π x 6 = 1350π
Using 3.14 for , what is the volume of the cylinder?
O A. 21.771 cubic meters
O B. 32.656 cubic meters
O C. 65.312 cubic meters
O D. 169.811 cubic meters
There is a bag of marbles that contain 5 blue, 6 red, 3 black, and 2 yellow marbles. What is the probability that you select a black marble
Answer:
3/16
Step-by-step explanation:
5 blue, 6 red, 3 black, and 2 yellow
total number of marbles = 5 + 6 + 3 + 2 = 16
p(black) = (number of black marbles)/(total number of marbles)
p(black) = 3/16
Answer: 3/16
Answer:
3/16
Step-by-step explanation:
add up all of the marbles then find out how many black marbles you have. Then you end up with 3/16
using the standard form ax^2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.
Answer:
See below
Step-by-step explanation:
Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:
(ax+p)(x+q) where p+q=b and pq=c
Brandon has 10 but each bag has 6 chocolates how many chocolates does he have in total
Answer:
10 what
Step-by-step explanation:
Find the area of the figure to the nearest hundredth.
Answer:
19.85 sq ft
Step-by-step explanation:
area of circle with diameter of 5: A = π(2.5²) = 7.85
area of triangle: A = 1/2(4)(6) = 12
Mt. Lincoln In Colorado Is Fourteen Thousand, Two Hundred Eighty Six Feet High.
How Is This Number Written Using Digits?
Answer:
The hight written in digital is 14286
by pairing the ratios
A can holds 753.6 cubic centimeters of juice. The can has a radius
of 4 centimeters. What is the height of the can? Use 3.14 for π and round to the nearest tenth. PLS HELP :D
Answer:
result = 15cm
Step-by-step explanation:
Hi! to can solve this, we have to keep in mind this formulas:
1) Area of a circuference:A1 = π [tex]r^{2}[/tex] ; where r = radius
2) Area of a cylinder:A2 = (π [tex]r^{2}[/tex]) * (h) ; where h= height
now we solve:
first, we have to calculate the area of the circumference
A1 = [tex](3.14)*(4cm)^{2}[/tex] = [tex]50.24cm^{2}[/tex]
then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:
A2 = (π [tex]r^{2}[/tex]) * (h)
[tex]753.6cm^{3}[/tex] = [tex]50.24cm^{2}[/tex] * (h)[tex]\frac{ 753.6cm^{3} }{50.24cm^{2} }[/tex] = hh = 15cm