Question

The quadratic function g(x) = -3(x + 2)2 -5 is a transformation of the parent function

f(x) = x². Select all of the transformations applied to f(x) to create g(x).
a shift left by 5 units
a shift left by 2 units
a vertical reflection
a vertical stretch by a factor of 3
a shift down by 5 units
a shift up by 2 units
a vertical compression by a factor of 3
a shift right by 2 units

Answer 1

For g(x) = -3(x + 2)^2-5 we have:

1. a vertical reflection over the x-axis.

2. a vertical stretch by a factor of 3

3. a shift left by 2 units

4. a shift down by 5 units