y=x^2-3x-10, Find the y-intercept and any x-intercept

y-intercepts are at the roots of the equation. Surely you've solved quadratics before.

y = (x-5)(x+2)
y=0 when x=5 or -2
x-intercepts are thus (-2,0) and (5,0)

y-intercepts occur where x=0
That would be (0,-10)