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ioda
3 years ago
15

EThe graph of a quadratic function passes through the points (6,0) and (p,0). The maximum point

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0

Answer:

p = - 5

Step-by-step explanation:

The vertex of the function is (0.5, 30.25 )

Since the roots are (6, 0) and (p, 0) then the axis of symmetry is vertical

with equation x = 0.5

The axis of symmetry passes through the midpoint of the roots, thus

\frac{6+p}{2} = 0.5 ( multiply both sides by 2 )

6 + p = 1 ( subtract 6 from both sides )

p = - 5

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