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)?
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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
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If we substitute the coordinates of point (2,3), we find
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We now have the system
Subtracting the second equation from the first we get
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Substituting that value back into we get
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So the equation is
It can be transformed, like this:
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