Question

Write the equation for the given parent function and listed transformations, please.x^2, right 1, reflect across the x-axis, vertical shrink by 1/3

Answer 1

given the function

`f(x)=x^2`

right 1

`f(x-1)=(x-1)^2`

reflect accros x axis

`-f(x-1)=-(x-1)^2`

vertical shrink by 1/3

since it says a shrink

vertical compressions a<1

`-(1)/(3)f(x-1)=-(1)/(3)(x-1)^2`

then the equation is

`-(1)/(3)\left(x-1\right)^(2)`