Write the equation of the quadratic function with roots 0 and 2 and a vertex at (1,5).

Question

Mathematics

Casey Friedman

5 May, 01:56

Write the equation of the quadratic function with roots 0 and 2 and a vertex at (1,5).

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Answers (1)

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Emiliano Mills · Answer 1

Step-by-step explanation:

y=a (x-0) (x-2)

=a (x^2-2x)

=a (x^2-2x+1-1)

or y=a (x-1) ^2-a

(1,5) lies on it.

5=a (1-1) ^2-a

5=0-a

or a=-5

so y=-5 (x-1) ^2+5