Question

Write the equation of the quadratic function in standard form represented by the graph.

Answer 1

y = x^2 +6x+8

Explanation:

First find the zeros, -4 ,-2

y =a (x - -4) (x - -2)

y = a(x+4)(x+2)

Then it is multiplied by a constant so pick a point on the curve and solve for the constant

We will use (0,8)

8 = a(0+4)(0+2)

8 = a(8)

a =1

y = (x+4)(x+2)

Writing in standard form

FOIL

y = x^2 +2x+4x+8

y = x^2 +6x+8