Answer:
c
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
(h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 2, - 4 ), then
f(x) = a(x + 2)² - 4
To find a substitute any other point on the graph into the equation
Using (- 4, 0 )
0 = a(- 4 + 2)² - 4 ( add 4 to both sides )
4 = 4a ( divide both sides by 4 )
a = 1
Thus
f(x) = (x + 2)² - 4 → c
