Question

Find the equation of the quadratic function with zeros 10 and 14 and vertex at (12, -8).

Answer 1

help

Answer 2

we can write it in the form
a(x - 10)(x - 14)

- that would give zeros of 10 and 14
and a would be some number to be found

Answer 3

so you have any thoughts about how we could find value of a?

Answer 4

we need to use the fact that the vertex is at (12,-8)

Answer 5

written in vertex form the function is
a(x - 12)^2 - 8
now thus is 0 when x = 10
so
a(10-12)^2 - 8 = 0
4a = 8
a = 2

Answer 6

now we can write the required quadratic equation

Answer 7

(x -10) * (x -14)
x^2 -24x +140

Answer 8

thanks