Question

Write the function with the given transformation from the given parent function.

f(x) =

reflected across the x-axis
vertically stretched by a factor of 5
shifted up 7

Answer 1

Which parent function should I use? The transformed function (in terms of a generic parent P(x)) is

f(x) = -5·P(x) + 7

Explanation: reflecting across the x‑axis and vertically stretching by 5 are combined as multiplication by -5, then shifting up 7 is adding 7.

If you meant a specific parent function, replace P(x) accordingly. Examples:
- Parent P(x)=x^2: f(x) = -5x^2 + 7
- Parent P(x)=|x|: f(x) = -5|x| + 7
- Parent P(x)=√x: f(x) = -5√x + 7