Question

I need help. This is Algebra 2. Based upon Transformations on A parabola.

Answer 1

We will focus on solving question 2a.

We are told that the parent function is

`f(x)=x^2`

we want to identify the transformations applied to this function so we get the function

`g(x)=-x^2+4`

Note first we can start by multiplyin f(x) by -1. So get

`\text{ -f(x)= -x}^2`

This multiplication by -1 represents a reflection across the x-axis. Now, if we add 4 to this equation, we get

`\text{ -f(x) +4= -x}^2+4=g(x)`

This move of adding 4 represent a shift of 4 units up.

So, to get the given function from the parent function, we should apply a reflection across the x-axis and the a shift of 4 units up