Question

F(x) = x^2, g(x) = 2/3 x^2 comparison

Answer 1

Answer:

g(x) is a vertical compression of f(x)

Step-by-step explanation:

Equation of graph 1 :$f(x)=x^2$

Equation of graph 2 :$g(x)=\frac{2}{3}x^2$

f(x)→a f(x)

Its is case of vertical stretch or compression

Vertical stretch if |a|>1

Vertical compression if 0<|a|<1

f(x)→a f(x)

So, $x^2$ →$\frac{2}{3}x^2$

So, $a= \frac{2}{3}=0.67$

So,0<|a|<1

So,It is a case of vertical compression

So, g(x) is a vertical compression of f(x)