Question

How to the graphs of

Answer 1

The correct answer is Option B

Explanation:

In the given two graphs we can see that the graph g(x) is the graph of f(x) compressed vertically by a factor of 3/4.

See the attached image for comparison

Answer 2

Option b.The graph g(x) is the graph of f(x) compressed vertically by a factor of 3/4.

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.