Question

Let f(x)=x^2+4 Write a function g whose graph is a reflection in the y-axis of the graph of f.

Answer 1

Answer:

$g(x)=x^2+4$

Step-by-step explanation:

Hi there!

Given:

$f(x)=x^2+4$

Let g be a function whose graph is a reflection in the y-axis of the graph of f.

What we need to know:

To reflect a function f in the y-axis, we would need to multiply x by -1:

$g(x)=f(-x)$

Apply and solve:

$g(x)=(-x)^2+4\\g(x)=x^2+4$

I hope this helps!

Answer 2

Answer:

g(x) = -x^2 + 4

Step-by-step explanation:

when it's reflecting on the y axis, the x will be negative and when it's reflecting on the x axis, the y will be negative

hope this helps