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Tcecarenko [31]
2 years ago
13

How is the graph of y=3(x+1)^2 related to its parent function y=x^2

Mathematics
2 answers:
vesna_86 [32]2 years ago
6 0

Answer:

D. Translated 1 unit to the left and vertically stretched by a factor of 3.

Step-by-step explanation:

We are given the parent function, y=x^2.

It is transformed to the function, y=3(x+1)^2.

As we know,

<em>Translation shifts the function in any direction.</em>

<em>Dilation stretches or shrinks the function along the axis.</em>

From the function, we can see that,

The parent function y=x^2 is translated 1 unit to the left and vertically stretched by a factor of 3 to obtain the new function.

Hence, option D is correct.

creativ13 [48]2 years ago
3 0
The parent function is y = x^2

There is a compression of 3:

y = 3x^2

There is a shift by 1 unit to the left:

y = 3(x + 1)^2
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Line segment NY has endpoints N(-11, 5) and Y(3,-3).
777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)

Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)

Midpoint=\left(-4,1\right)

Slope of lines NY is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{-3-5}{3-(-11)}

m=\dfrac{-8}{14}

m=\dfrac{-4}{7}

Product of slopes of two perpendicular lines is -1. So,

m_1\times \dfrac{-4}{7}=-1

m_1=\dfrac{7}{4}

The perpendicular bisector of NY passes through (-4,1) with slope \dfrac{7}{4}. So, the equation of perpendicular bisector of NY is

y-y_1=m_1(x-x_1)

y-1=\dfrac{7}{4}(x-(-4))

y-1=\dfrac{7}{4}(x+4)

y-1=\dfrac{7}{4}x+7

Add 1 on both sides.

y=\dfrac{7}{4}x+8

Therefore, the equation of perpendicular bisector of NY is y=\dfrac{7}{4}x+8.

6 0
2 years ago
Please Help!
Blababa [14]
Both have D as the correct answer.
6 0
3 years ago
Read 2 more answers
Find the selling price. Cost to store 130$. Markup 85%
AlexFokin [52]

Answer:

$240.5

Step-by-step explanation:

Multiply 0.85 and 130 to get 110.5. Add this to the original price, 130, to get 240.5.

4 0
3 years ago
markers are sold in boxes, packs, or as single markers. each box has 10 packs. each pack has 10 markers. draw pictures to show t
kvv77 [185]
Well if packs and boxes cost the same then you can get either one 27 times: 27 * 10 = 270. Then you can get 6 singles to equal 276.
3 0
2 years ago
Need serious help!!!!!!!!!!!!!! Ryan changed 90 euros (€) into dollars ($) when the exchange rate was €1 = $1.10. He spent $63.
love history [14]
€1 = $1.10
€90 = $99
$99 - $63 = $36
$36 / $1.20 = $30
$36 = €30

Answer €30
5 0
2 years ago
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