Answer:
f(x) = 3[tex]x^{2}[/tex] + 2
Step-by-step explanation:
Given G(x) = [tex]x^{2}[/tex]
As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)
=> f(x) = a[tex]x^{2}[/tex] + 2
As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3
and there is no reflection, so a= 3
=> the equation of f(x) is: f(x) = 3[tex]x^{2}[/tex] + 2
