SOLUTION: 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 stud

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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