Question

Which transformations of the graph of f(x)=-4^x result in the graph of f(x)=4^x+3?​

Answer 1

Reflection over the x-axis and shifted 3 units to the left

Explanation:

From the parent graph f(x) =
`-4^x`, we can conclude that:

1. Reflected over the x-axis because we multiplied by -1 to flip it to positive.

2. Horizontally shifted the graph to the left because of the +3 (take the opposite for horizontal movement)

That is how we get f(x) =
`4^(x+3)`.

Edit: I have no idea why the mods and AL2006 reported my answer and deleted it. I still got the same answer. The child function f(x) =
`4^(x+3)`, not f(x) =
`4^x+3`