SOLUTION: find the vertexy intercept and x intercept h(x)=x^2-6x+9

Algebra ->  Vectors -> SOLUTION: find the vertexy intercept and x intercept h(x)=x^2-6x+9      Log On


   

Question 609010: find the vertexy intercept and x intercept
h(x)=x^2-6x+9
Found 2 solutions by lynnlo, ewatrrr:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
vertex,(3,0)
y-intercept(0,9)
x-intercept(3,0)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

h(x)=x^2-6x+9    |Completing the Square

h(x)=(x-3)^2 -9 +9

h(x)= (x-3)^2     |a = 1 >0, parabola open Upward 

Vertex(-3,0) also the x-intercept

y-intecept h(x) = 9, when x = 0

always recommend graphing or 'picturing' the graph in Your mind.