SOLUTION: Given the following 3 points, find the particular equation. Graph the parabola. Label the axis of symmetry, vertex, y-intercept and its symmetric partner, and the x-intercepts.

Algebra.Com
Question 358803: Given the following 3 points, find the particular equation. Graph the parabola. Label the axis of symmetry, vertex, y-intercept and its symmetric partner, and the x-intercepts.
(3,138) (10, 292) (15, 282)

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

.
.
.

1.
.
.

2.
.
.

3.
Subtract eq. 1 from eq. 2 to eliminate ,


4.
Subtract eq. 1 from eq. 3 to eliminate ,


5.
Subtract eq. 4 from eq. 5 to eliminate



Then,


Then,


.
.

.
.
Convert to vertex form, , by completing the square.




The vertex is (,).
.
.
The vertex lies on the axis of symmetry .
.
.
The y-intercept is,

Its symmetric partner would be


(,)
.
.
The x-intercepts are,





.
.
.


RELATED QUESTIONS

graph the equation and label the vertex and the axis of symmetry.... (answered by Nate)
graph the quaratic function. label the axis of symmetry and vertex.... (answered by earljan143)
graph the function - label vertex and axis of symmetry y=-(x+3)^2 + 5 (answered by mathie123)
how do i graph and label the function Y=(x-3)^2 Label the vertex and axis of... (answered by jim_thompson5910)
Find the vertex and the axis of symmetry for the parabola with the given equation.... (answered by stanbon)
y=5x^2-30x+47 Find the vertex and the axis of symmetry for the parabola with the given (answered by solver91311)
Graph y = -2x2 - 4x + 2. Label the vertex and axis of symmetry. Find the solutions for... (answered by Fombitz)
Graph y = –2x2 – 4x + 2. Label the vertex and axis of symmetry. Find the solutions for... (answered by Fombitz)
Write the standard equation for the parabola with the given set of characteristics. Then... (answered by lwsshak3)