Quadratic Functions: Standard Form
Instruction Active
Finding Intercepts of Quadratic Functions
What are the intercepts of the function?
The x-intercepts are
Consider the function f(x) =
X-intercepts
0 = x2 + 12x + 11
0 = (x + 1)(x+ 11)
The y-interceptis
y-intercept
f(0) = (0)2 + 12(0)+ 11

Respuesta :

[tex]f(x)=x^2+12x+11\\[/tex]

Find the x-intercept, f(x) = 0

[tex]x^2+12x+11=0\\(x+11)(x+1)=0\\x=-11,-1[/tex]

There we get the x-intercepts, what about y-intercept? That's easy, (0,11). You don't even need to calculate to get the y-intercept as from

[tex]f(x)=ax^2+bx+c[/tex] (a=/0)

The y-intercept is "c" So if c = 2 then y-intercept is (0,2)

Or if you want to calculate for y-intercept.

then x=0

[tex]f(0)=0^2+12(0)+11\\f(0)=0+0+11\\f(0)=11[/tex]

There, we get the y-intercept which is (0,11).

Therefore, x-intercepts are (-11,0) and (-1,0)

y-intercept is (0,11)

and yeah, you kinda of got it right.