What are all the intercepts for $y = x^{2} + 13 x + 36$ $y=x^2+13x+36$ ?

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Answer 1 · 2016-10-07T10:11:37

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

To find x-intercept,use y=0

when $y = 0$ $y=0$

$y = x^{2} + 13 x + 36$ $y=x^2+13x+36$
$0 = x^{2} + 13 x + 36$ $0=x^2+13x+36$
$(x + 9) (x + 4) = 0$ $(x+9)(x+4)=0$
$x = - 4, x = - 9$ $x=-4,x=-9$

To find y-intercept,use x=0

when $x = 0$ $x=0$

$y = x^{2} + 13 x + 36$ $y=x^2+13x+36$
$y = 0^{2} + 13 (0) + 36$ $y=0^2+13(0)+36$
$y = 36$ $y=36$

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

What are all the intercepts for y=x2+13x+36y=x^2+13x+36?