Question

MATH HELP ASAP!!!! PLEASE HELP!! (attached image of the graph)

Determine the equation of the graph and select the correct answer below.

Courtesy of Texas Instruments (6 points)

y = (x + 3)2 − 2

y = (x − 3)2 − 2

y = (x + 3)2 + 2

y = (x − 3)2 + 2

Answer 1

We have been given a graph and we are asked to find which of the given equations represent the graph.

Since we know that in vertex form of parabola y=a(x-h)^{2}+k, (h,k) is the vertex of parabola.

We can see that our given equations are in vertex form. We are told that coordinates of vertex of given parabola are (-3,2).

Now let us compare our given examples with vertex form of parabola.

Upon looking at our options we can see that only option fits is:

y=(x--3)^{2}+2

y=(x+3)^{2}+2

Therefore, 3rd option is the correct choice.

Hope this helps.