SOLUTION: In my study booklet a problem has been graphed and I am to say which one of the answers below describes the equation. I've chosen answer "b" but have no clue if it is the correct a

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Question 98625: In my study booklet a problem has been graphed and I am to say which one of the answers below describes the equation. I've chosen answer "b" but have no clue if it is the correct answer. Is there a way that you could possibly graph each of the answers below in order for me to see if I have made the correct decision and I also want to under the logic behind the answer. Thank you.
Which equation is graphed?
a. y=-x^2+2x-1
b. x=-y^2+2y-1
c. y=x^2-2x+1
d. x=y^2-2y+1
Found 2 solutions by stanbon, Nate:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Which equation is graphed?
a. y=-x^2+2x-1
This is a parabola opening downward
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b. x=-y^2+2y-1
This is a parabola opening to the left
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c. y=x^2-2x+1
This is a parabola opening upward
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d. x=y^2-2y+1
This is a parabola opening to the right
==============
Cheers,
Stan H.

Answer by Nate(3500) (Show Source):
You can put this solution on YOUR website!
y = x^2 version is a vertical parabola.
x = y^2 version is a horizontal parabola
For: y = ax^2 or x = ay^2
a is negative ... the parabola goes left or down
a is positive ... the parabola goes right or up
................
Graph (b) describes a horizontal parabola going left