Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8, 2).

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Step-by-step explanation:

Given the roots are x = 6 and x = 10, then

the factors are (x - 6) and (x - 10)

The quadratic is then the product of the roots

y = a(x - 6)(x - 10) ← a is a multiplier

To find a substitute (8, 2) into the equation

2 = a(2)(- 2) = - 4a ( divide both sides by - 4 )

a = -

Hence

y = - (x - 6)(x - 10) ← expand factors

y = - (x² - 16x + 60) ← distribute

y = - x² + 8x - 30

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation: