Answer
The vertex is (2,0)
X-intercept: (2,0)
Y intercept: (0,4)
Work Step by Step
Y Intercept: Plug in 0 for all x values and solve for y.
y=x^2-4x+4
y=0^2-4(0)+4
y=0-0+4
y=0+4
y=4
(0,4)
X-Intercept: Plug in 0 for the y value and solve for x.
0=x^2-4x+4
factor the equation and get (x-2)^2=0
x-2=0
add 2 to both sides
x=2
(2,0)
Vertex:
Find your A, B, and C values.
For the equation h(x)= x^2-4x+4.... A=1, B=-4, and C=4
formula for finding the x value of the vertex is: X= -B/2a
X= -(-4)/2(1)
X= 4/2
X=2
So since you now have your x value, which is 2, plug 2 into the x values of your equation.
H(2)= (2)^2-4(2)+4
H(2)= 4 - 8 + 4
H(2) = -4 + 4
H(2) = 0
Vertex: (2,0)
