Question

Use the image to answer the question.▼Click for Long DescThe parabola grows through left parenthesis negative 8.5 comma negative 3 right parenthesis, peaks at left parenthesis negative 4 comma 2 right parenthesis, then drops to left parenthesis negative 0.5 comma negative 4 right parenthesis. All values are approximate.Which response is the correct way to write the equation in vertex form for the function? (1 point)Responsesy=−14(x−2)2+4𝑦=−14(𝑥−2)2+4y equals negative Start Fraction 1 over 4 End Fraction left parenthesis x minus 2 right parenthesis squared plus 4y=−14(x−4)2+2𝑦=−14(𝑥−4)2+2y equals negative Start Fraction 1 over 4 End Fraction left parenthesis x minus 4 right parenthesis squared plus 2y=−14(x+4)2+2𝑦=−14(𝑥+4)2+2y equals negative Start Fraction 1 over 4 End Fraction left parenthesis x plus 4 right parenthesis squared plus 2y=−14(x+2)2+4

Answer 1

y = −(1/4)(x + 4)^2 + 2

Reason: vertex at (−4, 2) gives y = a(x + 4)^2 + 2. Using the point (−8.5, −3) yields a ≈ −5/20.25 ≈ −0.25 = −1/4.