Question

question 1 (1 point)
what is the equation for g(x)?
○ a $g(x) = -\frac{1}{4}f(x)$
○ b $g(x) = \frac{1}{4}f(x)$
○ c $g(x) = 2f(x)$
○ d $g(x) = -2f(x)$

Explanation:

Step1: Check vertical scaling

g(x) is shorter than f(x), so scaling factor <1.

Step2: Check sign

g(x) is below x-axis, f(x) above: negative factor.

Step3: Match options

Only option a has negative factor <1.

Answer:

a. $g(x) = -\frac{1}{4}f(x)$