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xz_007 [3.2K]
3 years ago
11

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

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

Answer:

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

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