Question

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The parabola declines through left parenthesis 2 comma 6 right parenthesis, drops at left parenthesis 1 comma 3 right parenthesis, and finally rises to pass through left parenthesis 0 comma 6 right parenthesis.

In vertex form, write the equation for the quadratic function shown on the graph.

(1 point)
y=3
( x−

) 2+

Answer 1

Vertex at (1,3) so y = a(x−1)^2 + 3. Use (0,6): 6 = a(0−1)^2 + 3 → 6 = a + 3 → a = 3.

y = 3(x − 1)^2 + 3