Question

What are all the intercepts for `y=x^2+13x+36`?

Answer 1

x-intercept is -4 and -9 while y-intercept is 36

Explanation:

To find x-intercept,use y=0

when `y=0`

`y=x^2+13x+36`
`0=x^2+13x+36`
`(x+9)(x+4)=0`
`x=-4,x=-9`

To find y-intercept,use x=0

when `x=0`

`y=x^2+13x+36`
`y=0^2+13(0)+36`
`y=36`

graph{x^2+13x+36 [-12.45, 0.03, -2.845, 3.4]}