SOLUTION: I really need help with this quadratic equation. I have a project and my teacher doesn't explain the information needed. The equation is: x^2-14x+24. I have to graph it and find t

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: I really need help with this quadratic equation. I have a project and my teacher doesn't explain the information needed. The equation is: x^2-14x+24. I have to graph it and find t      Log On


   

Question 864225: I really need help with this quadratic equation. I have a project and my teacher doesn't explain the information needed. The equation is: x^2-14x+24. I have to graph it and find the following: roots, y-intercept, axis of symetry, and vertex. I don't understand any of it. Please help!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Go with what You know first

x^2 - 14x + ++highlight_green%2824%29+ y-intercept is 24 (when x = 0)

(x-12)(x-2) = ,   Factoring Gives Up the roots: x = 2, 12

As to the Vertex and axis of symmetry of the parabola the Eq represents:

complete the Square

x^2-14x+24 = (x-7)^2 -49   +24 = %28x-7%29%5E2+-+25 

V(7, -25) 

axis of Symmetry  x = 7 (vertical Line through the Vertex)