Question

The graph of F(x) shown below resembles the graph of G(x) = x ^ 2 but it has been changed somewhat . Which of the following could be the equation of

Answer 1

Answer:

f(x) = 3$x^{2}$ + 2

Step-by-step explanation:

Given G(x) = $x^{2}$

As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)

=> f(x) = a$x^{2}$ + 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$x^{2}$ + 2