Mia was given the graph of a quadratic function g(x) and was told that f(x) = -2 g(x) + 3. Identify the transformations Mia will perform on g(x) to graph f(x). Select all that apply from the following.

Question

a) Shift up 3 units
b) Shift down 3 units
c) Reflect over the x-axis
d) Reflect over the y-axis
e) Vertically stretch by a factor of 2
f) Vertically compress by a factor of 2

Answer 1

a) Shift up 3 units
c) Reflect over the x-axis
e) Vertically stretch by a factor of 2