Question

Awnsers A. The graph of h(x) is the graph of f(x) vertically compressed by a factor of 6.B. The graph of h(x) is the graph of f(x) shifted 1/6 unit right.C. The graph of h(x) is the graph of f(x) horizontally compressed by a factor of 6.D. The graph of h(x) is the graph of f(x) horizontally stretched by a factor of 6.

Answer 1

Given

`f(x)=x^2,h(x)=((1)/(6)x)^2`

To find: Which statement best compares the graph of h(x) with the graph of f(x).

Step-by-step explanation:

It is given that,

`f(x)=x^2,h(x)=((1)/(6)x)^2`

The graph is shown as,

From, the figure it is clear that, both the graphs have same vertex and the grpah of h(x) lies below the graph of f(x).

Also, h(x) is 5² times less than the value of f(x).

Hence, the graph of h(x) is the graph of f(x) horizontally stretched by a factor of 6.​