Question

What are the x-intercepts of `y = x^2 - 4x - 12`?

Answer 1

Y intercept = -12
X-intercept = 6,-2

Explanation:

For the intercepts, you need to understand first what means x-intercept and y-intercept.

X intercept means the point at which the line or the curve that intersects x-axis, and y intercept is the intersection at y-axis.

For the y intercept,
we know at y-axis, x=0

SO,

y =`0^2 -4*0 -12`

= -12

So -12 is the y-intercept,

For the x-intercept, we let y=0

`x^2 -4x-12`=0

`x^2 -(6-2) -12`=0

`x^2 -6x + 2x -12`=0

`x(x-6) +2(x-6)`=0

(x-6)(x+2) =0

So either Or.
x-6=0 x+2 =0
x=6 x=-2

So 6 and -2 are the x-intercepts.