Answer:
g(x) is the image of f(x) after stretched horizontally
by scale factor = 5
Step-by-step explanation:
∵ f(x) = x² ⇒ quadratic function
∵ g(x) = (1/5 x)² ⇒ The image of f(x) after one transformation
* Stretches or compresses horizontally:
It means stretches away from the y-axis
or compresses toward the y-axis
* If f(x) = (ax)² :
∵ |a| > 1 is a compression by factor of 1/a
∵ 0 < |a| < 1 is a stretch by factor of 1/a
∵ x-coordinate of f(x) multiplied by 1/5
∵ 0 < 1/5 < 1
∴ The transformation is ⇒ stretched horizontally
∴ g(x) is the image of f(x) after stretched horizontally
by scale factor = 1 ÷ 1/5 = 5
