SOLUTION: A parabola has vertex (3,-1) and an x intercept at (5,0). a). What is the other x intercept? I believe it to be (1,0) b). Find the equation of the parabola? This is what I am ha

Question 139103: A parabola has vertex (3,-1) and an x intercept at (5,0).
a). What is the other x intercept? I believe it to be (1,0)
b). Find the equation of the parabola? This is what I am having trouble figuring out.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A parabola has vertex (3,-1) and an x intercept at (5,0).
a). What is the other x intercept? I believe it to be (1,0)
That would be true because of symmetry.
-------------------------------------------------
b). Find the equation of the parabola? This is what I am having trouble figuring out.
Form: y-k = a(x-h)^2
Vertex: h= 3, k = -1
y+1 = a(x-3)^2
Using point x = 1 when y = 0 you can solve for "a":
1 = a(1-3)^2
1 = a(4)
a = 1/4
-----------
EQUATION:
y = (1/4)(x-3)^2-1

==========================================
Cheers,
Stan H.

RELATED QUESTIONS
Given three lines 3x + 2y -16 = 0 …eq. 1, 2x - y + 1 = 0 …eq. 2 and x - 4y + 4 = 0... (answered by greenestamps)

Given three lines 3x + 2y -16 = 0 …eq. 1, 2x - y + 1 = 0 …eq. 2 and x - 4y + 4 = 0... (answered by CPhill)

Please help with the following: 1. Is the graph of f(x) = x^1171−5x^109 +3... (answered by richard1234)

find the x-intercept of a parabola with a vertex (-1,2) and y-intercept... (answered by Gogonati)

can you please help me determine how many x-intercepts the parabola has and wether its... (answered by mathsteacher)

Graph the quadratic function {{{f(x)=-7x^2-10x+5}}}. State the ordered pairs representing (answered by solver91311)

Hello, I am having a hard time with the following two problems. Could someone please help (answered by Alan3354)

Using the following form to find the equation of the line with an x-intercept of (-5/6,0) (answered by ankor@dixie-net.com)

A parabola has an x-intercept at 2, its axis of symmetry is the line x = 4, and the y-... (answered by stanbon)