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3 years ago

9

F(x) = 4(x+6)2-3

1 answer:

ycow [4]3 years ago

5 0

Answer:

C. parabola; vertical stretch:4, horizontal translation left 6, vertical translation down 3.

Step-by-step explanation:

<u>Given parabola:</u>

f(x) = 4(x + 6)² - 3

<u>Its transformations from the parent function g(x) = x² are:</u>

f(x) = 4*g(x + 6) - 3

4 - is a vertical stretch, 6 - is a horizontal shift left, - 3 - is a vertical shift down

Correct choice is C

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4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4

eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

$a_n=a_1+d(n-1)$ and we are given enough info to fill in:

$a_n=-35+4(n-1)$ and

$a_n=-35+4n-4$ and

$a_n=-39+4n$ or in linear format:

$a_n=4n-39$ where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

$a_2=4(2)-39$ so

$a_2=8-39$ and

$a_2=-31$

The third term:

$a_3=4(3)-39$ and

$a_3=12-39$ so

$a_3=-27$ and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

$a_5=4(5)-39$ and

$a_5=20-39$ so

$a_5=-19$

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3 years ago

What is the median of the following distribution 24 26 26 29 29 31 33 35 37 38 40 42 43 46 48 55 56

kvv77 [185]

37 is the median of the set of data

Hope this helps :)

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3 years ago

Read 2 more answers

DochEvi [55]

For the first figure the Circumference of the circle is: 5.3 $\ip$ $\pi$ cm.

For the second figure the Circumference of the circle is: 80 $\ip$ $\pi$ inch.

<h3>What is Circumference of the Circle?</h3>

The circumference of a circle is defined as the linear distance around it.

i.e., $C= 2 *\pi*r$

For First Figure,

Circumference of the circle:

$= 2 *\pi*r$

$= 2 *\pi* \frac{5.3}{2}$

$= 2 *\pi*2.65$

$Circumference= 5.3*\pi cm$

For the second Figure,

Circumference $= 2 *\pi*r$

$= 2 *\pi*40$

$= 80 *\pi$

$Circumference =80\pi \;inch$

For the first figure the Circumference of the circle is: 5.3 $\ip$ $\pi$ cm.

For the second figure the Circumference of the circle is: 80 $\ip$ $\pi$ inch.

Learn more about circumference of circle here:

brainly.com/question/23239017

#SPJ1

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3 years ago

What is the area of triangle SRT

vfiekz [6]

Answer:9 square units

Step-by-step explanation:

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4 years ago

On a number line, 9.7 would be located where? Choose all answers that make a true statement

RideAnS [48]

Answer:

Step-by-stepapex answer to the left of 9.9 and to the right of 9.3 explanation:

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