Question

Use the image to answer the question.

A coordinate plane shows an upward-opening parabola with a plotted point. Both axes range from negative 20 to 20 in increments of 5.
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What is the vertex form of the graphed equation?

(1 point)
Responses

y=2(x−4)2−8

y equals 2 left parenthesis x minus 4 right parenthesis squared minus 8

y=2(x+4)2+8

y equals 2 left parenthesis x plus 4 right parenthesis squared plus 8

y=2(x−4)2+8

y equals 2 left parenthesis x minus 4 right parenthesis squared plus 8

y=−2(x−4)2+8

y equals negative 2 left parenthesis x minus 4 right parenthesis squared plus 8
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Answer 1

y = 2(x − 4)^2 − 8

Reason: the parabola opens upward so a>0, and the vertex is at (h,k) = (4, −8), giving y = 2(x−4)^2 − 8.