Question

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

parabolic function going down from the left and turning at the point negative three comma two and going up through the point zero comma twelve and continuing towards infinity
Courtesy of Texas Instruments

y = (x + 3)2 − 2
y = (x − 3)2 − 2
y = (x + 3)2 + 2
y = (x − 3)2 + 2

Answer 1

From the caption we can see that the vertex (aka “turning point”) is (-3,2)

Vertex form is y = (x-h)^2 + k where (h,k) is the vertex. Simply plug the vertex into this equation and see which answer choice reflects your work.