The quadratic function below has an axis of symmetry through x = - 4; a vertex at (-4, - 9) and zeroes at x = - 7 and x = 0.

y = x² + 8x + 7

1) True

2) False

True

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a (x - h) ² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = ( - 4, - 9), thus

y = a (x + 4) ² - 9

To find a substitute the coordinates of the zero ( - 7, 0) into the equation.

0 = a ( - 7 + 4) ² - 9, that is

0 = 9a - 9 (add 9 to both sides)

9a = 9 (divide both sides by 9)

a = 1, thus

y = (x + 4) ² - 9 ← expand factor using FOIL

y = x² + 8x + 16 - 9

y = x² + 8x + 7