Question

Use the image to answer the question.

A coordinate plane's x-axis ranges from negative 10 to 2 and its y-axis ranges from negative 4 to 4, both by 1-unit increments. A concave down parabola is drawn passing through the 2nd, 3rd, and 4th quadrants.
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Which response is the correct way to write the equation in vertex form for the function?

(1 point)
Responses

y=−14(x+4)2+2

y equals negative Start Fraction 1 over 4 End Fraction left parenthesis x plus 4 right parenthesis squared plus 2

y=−14(x−2)2+4

y equals negative Start Fraction 1 over 4 End Fraction left parenthesis x minus 2 right parenthesis squared plus 4

y=−14(x+2)2+4

y equals negative Start Fraction 1 over 4 End Fraction left parenthesis x plus 2 right parenthesis squared plus 4

y=−14(x−4)2+2

y equals negative Start Fraction 1 over 4 End Fraction left parenthesis x minus 4 right parenthesis squared plus 2
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Answer 1

y = -(1/4)(x + 4)^2 + 2

The graph's vertex is at (-4, 2) and it opens downward, so the vertex form is y = a(x + 4)^2 + 2 with a < 0. The correct scale is a = -1/4.