Question

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+

.

Answer 1

y = x^2 - 6x + 8

(Using symmetry about x = 3: y = a(x−3)^2 − 1; plug (0,8): 8 = 9a − 1 → a = 1.)