(02.04 LC) Determine the equation of the graph and select the correct answer below.

Courtesy of Texas Instruments
O y = (x + 2)2 + 4
O y = (x - 2)2 - 4
O y = -(x - 2)2 - 4
O y = -(x + 2)2 - 4

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

Step-by-step explanation:

Note: All references to variables or equations are from the vertex form equation:

a(x - h)^2 + k

Process of elimination:

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

O y = (x - 2)^2 - 4

O y = -(x - 2)^2 - 4

O y = -(x + 2)^2 - 4

Parabola opens downwards so 'a' must be negative. This means that the top two are eliminated. This leaves:

O y = -(x - 2)^2 - 4

O y = -(x + 2)^2 - 4

The vertex is (h, k) so this eliminates the top option. So all that is left is:

O y = -(x + 2)^2 - 4

(PLEASE NOTE THAT SINCE IN THE EQUATION WE ARE SUBTRACTING H, YOU MUST SWITCH THE SIGN)