SOLUTION: A) Apply the quadratic formula to find the roots (x-intercepts)of the given function. B) Graph the function - you will also need to find the vertex of each parabola, and most like

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: A) Apply the quadratic formula to find the roots (x-intercepts)of the given function. B) Graph the function - you will also need to find the vertex of each parabola, and most like      Log On


   

Question 661717: A) Apply the quadratic formula to find the roots (x-intercepts)of the given function.
B) Graph the function - you will also need to find the vertex of each parabola, and most likely additional points to complete the graph. Label the roots (if plot-able) and the vertex with their ordered pairs.
f(x)= x^2 - 6x + 5
g(x) = x^2 + 4x + 13
Please help I don't know were to begin, Thank You.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Parabola: To graph, find x-intercepts,the Vertex, the line of symmertry and sketch it

f(x)= x^2 - 6x + 5, x+=+%286+%2B-+4%29%2F%282%29+, x = 1 & x = 5 are the x-intercepts

f(x)= x^2 - 6x + 9 - 9 + 5 = (x-3)^2 - 4,  V(3,-4)  ||Putting into vertex form

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

The 2nd g(x) = x^2 + 4x + 4 - 4 + 13 = (x+2)^2 + 9 has no x-intercepts, 

V(-2,9)  and x = -2 is the line of symmetry. Note: both Open Upward, a>0