Asked by bob
Quadratic Functions in Standard Form Practice
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A parabola is graphed on a coordinate plane. The x-axis ranges from negative 1 to 10 in increments of 1. The y-axis ranges from negative 2 to 10 in increments of 1.
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The parabola passes through coordinates left parenthesis 0 comma 8 right parenthesis, left parenthesis 1 comma 3 right parenthesis, left parenthesis 3 comma negative 1 right parenthesis, left parenthesis 5 comma 3 right parenthesis, and left parenthesis 6 comma 8 right parenthesis.
Write the equation of the quadratic function in the graph in standard form.
(2 points)
Standard form of the quadratic is y=
x2+
x+
.
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All Answers 1
Answered by
GPT-5 mini
AI
y = x^2 - 6x + 8
(Reason: vertex at (3, −1) gives y = a(x−3)^2 −1; using (0,8): 8 = 9a −1 → a = 1, so expand to x^2 −6x +8.)
(Reason: vertex at (3, −1) gives y = a(x−3)^2 −1; using (0,8): 8 = 9a −1 → a = 1, so expand to x^2 −6x +8.)
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