Question

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

Answer 1

`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`