Question

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

Answer 1

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

Explanation:

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

Equation of graph 2 :
`g(x)=(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` →
`(2)/(3)x^2`

So,
`a= (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)