A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (-6,3). What is the vertex of the function defined as
g(x) = f(x - 2) – 5?

Answers

Answer 1

Answer:

The vertex of g(x) is (-4, -2)

Step-by-step explanation:

Let's define general translations:

Vertical translation:

For a function f(x), a vertical translation of N units (So the whole graph of f(x) is translated N units in a given direction) is defined as:

g(x) = f(x) + N

such that:

If N is positive, the translation is upwards

if N is negative, the translation is downwards.

Horizontal translation:

Similar than before, for a function f(x) a 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.

Here, we have the transformation:

g(x) = f(x - 2) - 5

This is a transformation that moves the whole graph of f(x):

2 units to the right

5 units downwards.

So, if a point like (x, y) was in the graph of f(x)

After the translation, that point will be (x + 2, y - 5)

Then, if the original vertex was (-6, 3), the new vertex will be:

(-6 + 2, 3 - 5)

(-4, -2)

The vertex of g(x) is (-4, -2)


Related Questions

show all work. Write the equation of the line in slope intercept form (-5, -5) & (-1, 3)

Answers

Answer:

y = 2x + 5

Step-by-step explanation:

(-5 , -5)  & (-1 , 3)

Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]=\frac{3-[-5]}{-1-[-5]}\\\\=\frac{3+5}{-1+5}\\\\=\frac{8}{4}\\\\= 2[/tex]

m = 2 & (-5 , -5)

Y -y1 = m(x -x1)

y - [-5] = 2(x - [-5] )

y + 5 = 2 (x + 5)

y+ 5 = 2x + 2*5

   y = 2x + 10 - 5

   y = 2x + 5

Need help plz ASAP!!! Plz show work too!

Answers

Area= length x width
Area = 12 x 80
Area= 960 in
Write a paragraph describing the differences and similarities between El Sistema and The Recycled Orchestra. Describe their respective countries and situations and how they use music to escape their realities.

Can someone check this answer before i turn it in?? don't say yes just to get points i really need to pass this

I got 3141.59 on a calculator after doublechecking but it doesn't seem right

Answers

Answer:

ya its right

Step-by-step explanation:

that is the right answer

Ryland rolls a numbered cube that has sides labeled 1 - 6 and then flips a coin. What is the probability that he rolls an odd number and lands on tails?

1/2

1/4

3/4

1/8

Answers

Answer:

1/4

Step-by-step explanation:

I don't like doing math help if you know :)

Answers

Answer:

Step-by-step explanation:

-(2x+1)

-2x-1

write -2 in that bos and 1 after "-"

Q6.
.
Make t the subject of the formula w = 3t + 11

Answers

Answer:

t = w/3-11/3

Step-by-step explanation:

w = 3t + 11

3t = w-11

t = 1/3(w-11

t = w/3-11/3

Why DEF and STU are similar?​

Answers

Answer:

They are similar because they both are in one page.

SMART.

Find z.

What is the length of the missing leg?

b = _____ miles

Answers

Answer:

5√3

Step-by-step explanation:

tan30= 5/z

1/√3= 5/z

z= 5√3

Just help me please don’t ignore me

Answers

Answer:

See https://brainly.com/question/23882263 for A and B parts of the first question

d)

[tex]HF = \sqrt{EH^2+EF^2} = \sqrt{2^2+3^2} = \sqrt{13}[/tex]

#2

[tex]d = \sqrt{2^2+5^2} = \sqrt{4+25} = \sqrt{29}[/tex]

#3

Diagonals are perpendicular. Side length of the rhombus:

[tex]a = \sqrt{(8/2)^2+(6/2)^2} = \sqrt{4^2+3^2} = \sqrt{25} = 5[/tex]

Perimeter:

P = 4a = 4(5) = 20

Given the triangle below find the measure of ZF and ZD.
D
20
E
F
17
ZF-
ZD=

Answers

Answer: angle f is 31.788 and angle d is 58.212

Step-by-step explanation:I need one more brainliest for next rank I’d appreciate it

Look at the picture!

Answers

Answer:

6 3/8 pounds (also 6.375 pounds)

Step-by-step explanation:

2 2/3 + 1 5/6 + 1 7/8 = x

8/3 + 11/6 + 15/8 = x

(multiply each fraction by to create the denominator 24)

8/3 x 8/8 = 64/24

11/6 x 4/4 = 44/24

15/8 x 3/3 = 45/24

64/24 + 44/24 = 108/24

108/24 + 45/24 = 153/24

153/24 = 6.375 = 6 3/8

Give the other person brainliest!


They answered one of my questions before

What is the area of this triangle?

Answers

Area is 1/2•b•h so 25

A painter is to mix green and yellow paint in the ratio of 4 to 7 to obtain the color she wants.
If she has 28 liters of green paint, how many liters of yellow paint should be added?
A. 11
B. 16
C. 28
O D. 49
E. 196

Answers

Answer:

D. 49

Step-by-step explanation:

Create a proportion where x is the number of liters of yellow paint she should use:

[tex]\frac{4}{7}[/tex] = [tex]\frac{28}{x}[/tex]

Cross multiply and solve for x:

4x = 196

x = 49

So, she should add 49 liters of yellow paint.

The correct answer is D. 49

2. It takes Samuel 5 hour to walk a mile.
Yesterday, Samuel walked for 13 hours.
Write a multiplication equation that can
be used to find the number of miles
Samuel walked. (Example 1)

Answers

Answer:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

13/5

Decimal Form:

2.6

Mixed Number Form:

2 3/5

Step-by-step explanation:

Someone please help <3
How many solutions does the equation 6n − 6n − 12 = 14 − 2 have?
Thank you!!

Answers

Answer:

i think there's zero solutions

Which value(s) of x are solution(s) of the equation below

Answers

Answer:

x =-1 , x=4

Step-by-step explanation:

[tex]\frac{1}{x-4}+\frac{x}{x-2}=\frac{2}{x^2-6x+8}\\\\\mathrm{Multiply\:by\:LCM=}\left(x-4\right)\left(x-2\right)\\\\\frac{1}{x-4}\left(x-4\right)\left(x-2\right)+\frac{x}{x-2}\left(x-4\right)\left(x-2\right)=\frac{2}{x^2-6x+8}\left(x-4\right)\left(x-2\right)\\\\Simplify\\\\x-2+x\left(x-4\right)=2\\\\Solve\\\\x=4,\:x=-1[/tex]

Answer:

[tex] \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{ {x}^{2} - 6x + 8} \\ \\ \frac{1}{x - 4} + \frac{x}{x - 2} = \frac{2}{(x - 4)(x - 2)} \\ \\ \frac{(x - 2) + x(x - 4)}{(x - 4)(x - 2)} = \frac{2}{(x - 4)(x - 2)} \\ \\ x - 2 + {x }^{2} - 4x = 2 \\ \\ {x}^{2} - 3x - 4 = 0 \\ (x - 4)(x + 1) = 0 \\ x = 4 \: \: and \: \: x = - 1[/tex]

2. Brandon has 4 1/2 cups of oats. He uses 3 1/4 cups to make oats for a camping trip. He saves the rest of the oats to feed to his bird, Coco. If Coco needs ¼ of a cup of oats each day, how many days can Brandon feed Coco with the oats he has left? Answer must be a whole number

Answers

4 1/2 - 3 1/4

.= 9/2 - 13/4

= 18-13/4

= 5/4 cups

= 5/4 cups ÷ 1/4 cups

= 5/4 × 4/1

= 20/4

= 5 days

Days can Brandon feed

A ship is at a distance of 200 m from a tall tower. What is the angle of depression (to the nearest degree) of the ship found by a man after climbing 50 m up the tower?

Answers

Answer:

14degrees

Step-by-step explanation:

Given the following

Distance of ship from the tower = 200m

Height of the tower = 50m

Required

Angle of depression theta

USing the SOH CAH TOA identity

Tan theta = opposite/adj

Tan theta = 50/200

Tan theta = 1/4

theta = arctan(0.25)

theta = 14.03degrees

Hence the angle of depression is 14degrees

HElp asap PLZZZZZZZZZZZZ!!!!!!!!!!!!!!!!

Answers

[tex] \huge{ \mathcal{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The given figure is a sphere :

[tex] \boxed{ \mathrm{volume = \frac{4}{3}\pi {r}^{3} }}[/tex]

[tex] \dfrac{4}{3} \times \dfrac{22}{7} \times 4 \times 4 \times 4[/tex]

[tex] \dfrac{5632}{21} [/tex]

[tex]268.1 \: \: mi {}^{3} [/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]

PLEASE HELP ME ILL MAKE BRAINLIEST HURRY

The table below shows a proportional relationship between the cost of movie tickets and number of tickets purchased.



What is the constant of proportionality?

A
5.5

B
9.5

C
8.5

D
17

Answers

Answer:

D.17

Step-by-step explanation:

Pam needs to spend less than $40 on her school supplies. She spends $12 on a
new calculator and wants to buy 7 binders. Write an inequality to model this
situation. Create a variable to represent unknown information. *

Answers

Answer:

(40-12)-(x·7)

Step-by-step explanation:

x is the price foreach of the 7 binders

A Dilation has a center (0,0). Find the image of this point for the given scale factor: P (2-4); D 0.5 (P)

Answers

Answer:

(1, -2)

Step-by-step explanation:

The dilation that has a center of (0, 0) means that you would multiply each number in your coordinate point by your given scale factor.

For your given point (2, -4) with a scale factor of 0.5:

2 times 0.5 = 1

-4 times 0.5 = -2

Therefore your new point will be (1, -2).

Simplify 2/3(9x−15)−(−6x+2) . Write your answer in factored form.

Answers

The value of the expression 2/3(9x−15)−(−6x+2) is 12(x - 1).

How to calculate the expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

H we, we want to simplify 2/3(9x−15)−(−6x+2). This will be illustrated thus:

2/3(9x−15)−(−6x+2) .

= (6x - 10) + 6x - 2

= 6x - 10 + 6x - 2

= 12x - 12

= 12(x - 1)

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

The volume of a sphere of radius 3 cm is
(A)
9x cm
(B)
18.t cm
(C)
27 cm
(D)
36 cm

Answers

Answer:

3^3 = 27

27 * 3.14 = 84.78

84.78 * 4/3 = 113.04 is your answer.

Formula of volume of sphere is:

4/3 x π(3.14 or 22/7 whatever they tell you to use for pi) x r^3(your radius being cubed)

You get your radius by finding out what is half of your diameter or your given radius.

The number of patients treated at Dr. Frank's dentist office each day was recorded for nine days: 18,
19, 19, 4, 14, 8, 22, 3, 1. Using the given data, find the mean for this sample.

A. 12

B.19

C. 29

D. 14

Answers

Answer: 12

Step-by-step explanation: The mean is basically the average. So, start by lining up the numbers from smallest to largest. 1, 3, 4, 8, 14, 18, 19, 19, 22. Then, add them all together. You get 108. Then, divide 108 by the number or numbers in the data set, which in this case is 9. So 108 divided by 9 = 12. Your answer is A. --> 12

Hope that helped!!

the bearing of point x from point is 148 find the bearing of y from x solve it​

Answers

Do you have a picture of the problem

Someone please help me out!!

Answers

Answer:

That's a right angled Triangle

When viewed upside down

(HINT: 50 can't possibly be the adjacent; Why? Its the longest side(Hypotenuse)... You can also know this by identifying the part of the triangle directly facing the 90° sign)

tanA= Opp/Adj

tanA= 30/40

tanA= 3/4

OPTION D SEEMS LEGIT!!!

How do I find the volume?

Answers

Answer:

425 ft³

Step-by-step explanation

Find the volume of the entire figure, if the part wasn't cut out

It would be 11 x 8 x 5 = 440

Now do 5 x 1 x 3 = 15

440 - 15 = 425

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

s=10 what is the volume of the prism

Answers

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle.

hey! i’ll give brainliest please help

Answers

Answer:

The 4th answer

Step-by-step explanation:

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

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