List transformations from this equation f(x)=-5(3/4x)^2+8

Answer 1

f(x) = -5(3/4x)²+8

same as

f(x)-8=-(((3√5)/4)x)²

corrections

horizontal x direction is compressed by 4/(3√5)=k

if k<1 then compress horizontal

if k>1 then stretch horizontal

vertical is translated 8 up

and then graph reflected across y=8 horizontal line

Answer 2

Hi Kacie

You can look up the Rules for Transformation in your text on on the internet

Compared to the simplest form of this type of function

g(x) = x²

There is no Horizontal shift

There is Reflection about the x-axis

There is a vertical shift 8 units up

There is a vertical stretch

You can also just graph g(x) = x² versus f(x) = -5(3/4x)²+8 on the same grid at desmos.com, on a graphing calculator, or by hand to see the transformations. I hope this helps.