SOLUTION: Determine the equation of the axis of symmetry for the parabola whose x

SOLUTION: Determine the equation of the axis of symmetry for the parabola whose x - intercepts are (-3, 0) and (1,0).

Question 99654: Determine the equation of the axis of symmetry for the parabola whose x - intercepts are (-3, 0) and (1,0).
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Determine the equation of the axis of symmetry for the parabola whose x - intercepts are (-3, 0) and (1,0).
============
The axis of symmetry is half-way between the x intercepts.
That would be the line x = -1
===============
Cheers,
Stan H.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The axis of symmetry is always the point right in the middle of the two intercepts. That is why it is called the axis of symmetry.

So if we have x-intercepts of -3 and 1, just average them to get the axis of symmetry:

So the axis of symmetry is

Notice if we graph a parabola with x-intercepts (-3, 0) and (1,0) we get

graph of the parabola with x-intercepts (-3, 0) and (1,0) with the axis of symmetry

Notice the vertical line at evenly splits the parabola in two
RELATED QUESTIONS
If the x-intercepts of a parabola are 5 and -3, what is the equation of the axis of... (answered by josgarithmetic)
Find an equation of the parabola whose axis of symmetry is parallel to the y-axis and... (answered by KMST)
Find the equation of the parabola whose axis is parallel to the x-axis and passes through (answered by Edwin McCravy)
Find the equation of the ellipse with vertices (0, -1) and (12, -1) and minor axis of... (answered by stanbon,ewatrrr)
If the x intercepts of a parabola are 5 and -3, what is the axis of... (answered by reviewermath)
What is the vertex, focus, axis of symmetry, and directrix for the parabola whose... (answered by lwsshak3)
Please help with the following: 1. Is the graph of f(x) = x^1171−5x^109 +3... (answered by richard1234)
for each given axis of symmetry and point on a parabola, determine another point on the... (answered by stanbon)
For each given axis of symmetry and point on a parabola, determine another point on the... (answered by reviewermath)