For part A the x intercepts are -2 and 6
The x intercepts are whatever in the equation make y equal to zero.
Proof:
(-2)+2(x-6)
0(x-6)=0
Anything times 0 equals zero
Part B. The vertex is (2,-16)
Explanation: this one is a little hard to find but here it goes.
First use foil to multiply the 2 binomials
x^2-4x-12 now you have to factor it in a square.
This is kinda hard to grasp probably but if you subtract 4 from the -12 you get -16 but you cant just do that. I will show you how to do it
x^2-4x-12=y
x^2-4x-16=y-4
Now that we got that add it back to the other side, just separate from the -16
x^2-4x-16=y-4
x^2-4x+4-16=y
Now its still equal to the original equation just we have a perfect square now. So lets factor the perfect square.
(x-2)^2-16=y
Now to find the vertex just take the number in the perfect square (-2) and change its sign.
x=2
And -16 will be our y
x=2
y=-16
Part C you will have to do yourself. You can use a graphing calculator or online graphing software to do it.
Brainliest my answer if it helps you out?
