Question

ANSWER ASAP

Determine the equation of the graph and select the correct answer below. parabolic function going up from the left and turning at the point negative two comma negative four and going down through the point zero comma negative eight and continuing towards infinity
y = (x + 2)2 + 4
y = (x − 2)2 − 4
y = –(x − 2)2 − 4
y = –(x + 2)2 − 4
I think it's one or four. I have four right now

Answer 1

y = –(x + 2)^2 − 4

Explanation:

Answer 2

The vertex = (-2,-4)
One of the points = (0,-8)

SOLUTION:
General formula to make vertex form equation
(h,k) is the vertex
y = a(x - h)² + k

Solve the equation
y = a(x - h)² + k
-8 = a(0 - (-2))² + (-4)
-8 = a(0+2)² - 4
-8 = 4a - 4
-4 = 4a
a = -1

The equation should be
y = -1(x - (-2))² + (-4)
y = -1(x + 2)² - 4
y = -(x + 2)² - 4

The answer is fourth option