What is the equation of the following graph in vertex form?
(0, 12)
(2,0)
(
60)
Courtesy of Texas Instruments
Oy = (x - 4)2 - 4
Oy = (x + 4)2 - 4
Oy = (x + 2)2 + 6
Oy = (x + 2)2 + 12

First option.

Step-by-step explanation:

By definition, the Vertex form of a Quadratic function is the following:

Where is the vertex of the parabola (Remember that the horizontal shift from is represented by "h" and the vertical shift  from is represented by "k").

Now, you can observe in the graph that the vertex ot the given parabola is the following:

So, knowing the vertex, you can identify that the value of "h" and "k" are:

Therefore, with that data you can determine that the equation of the given graph in Vertex form is:

This matches wih the first option.

a

step-by-step explanation: