Question

Write the function with the given transformation from the given parent function.
reflected across the x-axis
vertically stretched by a factor of 4
shifted right 7

Answer 1

If the parent function is f(x), apply the transformations in this form:

1. Reflect across the x-axis: -f(x)
2. Vertically stretch by factor 4: -4f(x)
3. Shift right 7: -4f(x - 7)

So the transformed function is g(x) = -4 f(x - 7).

Example: if f(x) = x^2, then g(x) = -4(x - 7)^2.