SOLUTION: Could you explain to me how to construct the equation of a parabola that has x-axis intercepts at (-2,0) and (4,0) ?

Question 131738: Could you explain to me how to construct the equation of a parabola that has x-axis intercepts at (-2,0) and (4,0) ?
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If the parabola intercepts the axis at (-2,0), that means the value of the function at x = -2 is f(-2) = 0. Then one of the factors of the equation must be
. Likewise, the other factor must be , so the equation becomes:

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Could you explain to me how to construct the equation of a parabola that has x-axis intercepts at (-2,0) and (4,0) ?
--------------
Rule: If "a" is a root, (x-a) is a factor.
--------------
You are given two roots: x = -2 and x=4
So you have two factors (x+2) and (x-4)
----------
EQUATION:
y = (x+2)(x-4)
y = x^2-2x-8
====================

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

RELATED QUESTIONS
A parabola whose axis is parallel to the x-axis passes through(0, 4), (0, -1) and (6, 1). (answered by josgarithmetic)
can you please help me determine how many x-intercepts the parabola has and wether its... (answered by mathsteacher)
A parabola of the form y=ax^2+bx+c has a maximum value of y=3. The y-coordinate of the... (answered by josgarithmetic)
This is a parabola question. I really need help solving. if you could please show me the... (answered by richwmiller,drk)
I have a question that i need help with: Sketch the graph of y=x^3-3x^2+1/x^3 1.... (answered by arallie)
Hello, I am having a hard time with the following two problems. Could someone please help (answered by Alan3354)
Please help with the following: 1. Is the graph of f(x) = x^1171−5x^109 +3... (answered by richard1234)
Dear Tutor, Please help me solve the following question. Consider the graphs of f(x)... (answered by Fombitz)
Hello and thank you so much for your help.I got this function 7-6x-x^2=0 it's a parabola... (answered by nerdybill)