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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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