Question 934745: Find the standard equation of a parabola with vertex (0,5) and containing the point (1 ,-1). Show your work step by step and explain your answer as if you were showing another student how to complete this problem.
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! The general form of the parabola is:
You are given the points:
( 0, 5 ) and
( 1, -1 )
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( 0, 5 )
By substitution:
and
( 1, -1 )
since ,
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The x co-ordinate of the vertex point,
( 0,5 ) is defined as:
So, you can say:
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So far you have:
Now go back to:
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Now you have:
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check:
Does it go through ( 0,5 )?
OK
Does it go through ( 1, -1 )?
OK
Here's the plot:
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