Answer:
Option b.The graph g(x) is the graph of f(x) compressed vertically by a factor of 3/4.
Step-by-step explanation:
In the two functions f(x) = x² and g(x) = (3/4)x²
We can say that both the functions are parabola on the same side of x- axis.
But g(x) = (3/4)x² represents the graph vertically compressed by 3/4 of its parent function.
We can check in the given graph
f(x) = x²
For x = 2
y = 2² = 4
and for its compressed form
g(x) = (3/4)x²
for x = 2
y = (3/4)(2)² = 3
It's true in the graph attached. Therefore option b is the answer.
