Question

1. Write an expression for a quadratic function that has x-intercepts of 3and 5.2. Use your expression to rewrite the expression in standard form andidentify the value of the y-intercept.

Answer 1

1.- For this notice that if the function intercepts x at 3 and 5 it means that the roots of the function are x=3 and x=5, then y(x) = (x-3)(x-5)

2.- Now we distribute:

$(x-3)(x-5)=x^2-8x+15^{}$

and to find the value of the y-intercept we set x=0 and get:

$y(0)=0-0+15=15$