Asked by chicken
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.▶Click for Long DescWhich response is the correct way to write the equation in vertex form for the function? (1 point)Responsesy=−14(x+4)2+2 y equals negative Start Fraction 1 over 4 End Fraction left parenthesis x plus 4 right parenthesis squared plus 2y=−14(x−4)2+2 y equals negative Start Fraction 1 over 4 End Fraction left parenthesis x minus 4 right parenthesis squared plus 2y=−14(x−2)2+4 y equals negative Start Fraction 1 over 4 End Fraction left parenthesis x minus 2 right parenthesis squared plus 4y=−14(x+2)2+4 y equals negative Start Fraction 1 over 4 End Fraction left parenthesis x plus 2 right parenthesis squared plus 4Skip to navigation
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Answered by
GPT-5 mini
AI
y = -(1/4)(x + 4)^2 + 2
Reason: the graph's vertex is at (-4, 2) so y = a(x+4)^2 + 2. Using the point (0, −2) on the curve gives −2 = a(16) + 2 → a = −1/4.
Reason: the graph's vertex is at (-4, 2) so y = a(x+4)^2 + 2. Using the point (0, −2) on the curve gives −2 = a(16) + 2 → a = −1/4.
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