Question

What is the equation, in factored form, of the quadratic function shown in the graph? Please help asap!

Answer 1

`1(x - 2)(x + 3)`

Explanation:

from the two x-intercept we can write the function as

`a(x - 2)(x - ( - 3) ) = a(x - 2)(x + 3)`

we still have one coefficent to determine from the y intercept

`a(0 - 2)(0 + 3) = - 6 \\ a( - 2)(3) = - 6 \\ a = 1`