SOLUTION: What is the equation of a parabola with its axis of symmetry at line of x=3/4, y-intercept at the point (0,1), and passing through the point of (2,3)?

Algebra.Com
Question 696155: What is the equation of a parabola with its axis of symmetry at line of x=3/4, y-intercept at the point (0,1), and passing through the point of (2,3)?
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
is the equation of a parabola with axis of symmetry
If we substitute the coordinates of point (0,1), we find
-->-->-->-->
If we substitute the coordinates of point (2,3), we find
-->-->-->-->-->
We now have the system

Subtracting the second equation from the first we get
-->-->-->
Substituting that value back into we get
-->-->-->-->
So the equation is

It can be transformed, like this:
-->-->

RELATED QUESTIONS

A Parabola Passes Through The Point -1,5 And Its Vertex Is At 0,-4 With A Horizontal Axis (answered by MathLover1,josgarithmetic)
1)Draw the parabola with a zero at (3,0) ,a vertex at (3,0) and a y intercept of (0,8) (answered by Boreal)
A parabola has an x intercept at 2, its axis symmetry is the line x=4 and the y... (answered by josgarithmetic)
Find the equation of the parabola with vertex at the origin, axis y = 0 and passing... (answered by Fombitz)
How to find the equation of a parabola with vertex at (0,0)if its axis of symmetry is... (answered by lwsshak3)
Please help with the following: 1. Is the graph of f(x) = x^1171−5x^109 +3... (answered by richard1234)
Hi, please help me solve the question: Find the equation of a parabola passing... (answered by lwsshak3)
a parabola with x=0 as its axis of symmetry has a y-0intercept of 6. One of its... (answered by Fombitz)
find the equation of a parabola with vertex on the line y=2x, axis parallel to the x-axis (answered by greenestamps)