What this formula have y=4(x-1)^2+2
opens upward or downward
has a maximum or minimum
vertical shift/horizontal shift or both
vertex
stretch(skinny/tall) shrink(fat/short)

x+2

Step-by-step explanation:

we know that

To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial

Remember that

The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero

In this problem

Looking at the graph

For x=-2, f(x)=0

so

x=-2 is an x-intercept or zero of the polynomial

To find out the factor move the constant to the left side and equate to zero

adds 2 both sides

therefore

The factor is (x+2)