Question

Please Answer!!! how do the graphs of (x) = x^2 and g (x)= 3/4 x^2? relate?

a. the graph of g(x) is the graph of f(x) compressed horizontally by a factor of 3/4
b. the graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4
c. the graph of g(x) is the graph of f(x) compressed vertically by a factor of 4/3
d. the graph of g(x) is the graph of f(x) compressed horizontally by a factor of 4/3

Answer 1

C bc it has the most sense

Answer 2

The correct option is B.

Explanation:

The given functions are

`f(x)=x^2`

`g(x)=(3)/(4)x^2`

It can be written as

`g(x)=(3)/(4)f(x)` .... (1)

The vertical stretch and compression is defined as

`g(x)=kf(x)` .... (2)

If k>1, then it represents vertical stretch by factor a.

If 0<k<1, then it represents vertical compression by factor a.

From (1) and (2), we get

`k=(3)/(4)`

Since k<1, therefore he graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4.

Hence the correct option is B.