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## What is the equation of y = x^3 with the given transformations?

tranformations are applied to an quation in the the form of y= a(k(x-d)^2 +c

a= vertical stretch/compression

k= horizontal stretch/compression

d= Horizontal tranlation if d + then shift to the left if d – then shift to the right

c= vertical translation, if c + then shift up if c – then shift down

if a= negative means reflection in the x axis

if k= negative means reflection in the y axis

and the value of k is taken as 1/k

so applying all of the given trnaformations your equation will look like this

1. Vertical compression by a factor of 1/7 y= 1/7 (x^3)

2. Horizontal shift 8 units left y= 1/7(x+8)^3

3. Reflection in the x axis y= -1/7(x+8)^3

Hope this helps for future questions !

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