SOLUTION: Hi, I'm having trouble in a section where we are to graph a parabola with horizontal and vertical axis. For example, the problem x=y^2-10y+30. I got the vertex (5,5) and since a

Question 82248: Hi,
I'm having trouble in a section where we are to graph a parabola with horizontal and vertical axis. For example, the problem x=y^2-10y+30. I got the vertex (5,5) and since a=1 I know it opens to the right. I know for any constant d, the points on the parabola with y-coordinates 5-d and 5+d have the same x-coordinate. So I plug in 1 and have the y coordinates as ( ,4) and ( ,6). My problem is, I can't find the constant x-coordinate. I don't know how to get the x-coordinate. Can someone please help me figure out how to find the x-coordinate in this problem. I've tried everything and can't figure it out. Thanks so much!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For example, the problem x=y^2-10y+30. I got the vertex (5,5) and since a=1 I know it opens to the right. I know for any constant d, the points on the parabola with y-coordinates 5-d and 5+d have the same x-coordinate. So I plug in 1 and have the y coordinates as ( ,4) and ( ,6). My problem is, I can't find the constant x-coordinate. I don't know how to get the x-coordinate. Can someone please help me figure out how to find the x-coordinate in this problem.
-------------
You have the y-coordinate of two points.
If y=4, x=4^2-10*4+30; x=46-40=6
If y=6, x=6^2-10*6+30; x=66-60=6
-----------
For both of yur points the x-value is 6.
==============
Cheers,
Stan H.

RELATED QUESTIONS
We have had extreme trouble with this one. There are four of us and each of us comes up... (answered by stanbon)

Hi i'm having a little trouble with a section in my math packet for the summer. I already (answered by stanbon)

I am taking integrated algebra online, and my teacher gave us two standard equations for... (answered by solver91311,lwsshak3)

This homework should be viewed as an individual effort but if needed ask your IA for... (answered by ikleyn)

Hey, I'm having trouble with these 3 questions about quadratic equation and I can't do (answered by ewatrrr)

a) find the horizontal,vertical, and or slant asymptotes b) find the x and y intercepts (answered by venugopalramana)

Hi, There's a word problem on vectors that I've been having trouble with: "What... (answered by htmentor)

Hi! i have a test tomorrow on logs and i am having trouble knowing how to evaluate a log... (answered by ikleyn)

I'm really having a hard time figuring these out can somebody help me please? 1. How (answered by mangopeeler07,stanbon)