SOLUTION: find the x- and y-intercepts of the graph of the equation. y=x^2-5x+6

Algebra ->  Graphs -> SOLUTION: find the x- and y-intercepts of the graph of the equation. y=x^2-5x+6      Log On


   

Question 636266: find the x- and y-intercepts of the graph of the equation.

y=x^2-5x+6
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y=x%5E2-5x%2B6...factor it out..replace -5x with -2x-3x
y=x%5E2-2x-3x%2B6
y=%28x%5E2-2x%29-%283x-6%29
y=x%28x-2%29-3%28x-2%29
y=%28x-3%29%28x-2%29
x-intercepts: set y to zero and solve for x

0=%28x-3%29%28x-2%29
0=%28x-3%29.......->.......x=3
0=%28x-2%29.......->.......x=2

and y-intercepts: set the x to zero and solve for y

y=x%5E2-5x%2B6...->...y=0%5E2-5%2A0%2B6.....->...y=6

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-2x-3x%2B6%29+