Write the equation of the parabola that passes through the point (1,5) and has x-intercepts 2 and 6

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15 votes

Answer:

x^2-8x+12

Explanation:

Knowing both intercepts we can write the equation in factored form:

(x-2)(x-6)

Now use distributive property to find the equation in standard form:

$(x-2)(x-6)\\x^2-6x-2x+12\\x^2-8x+12$

Jefferey answered Aug 5, 2023

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