How do you graph #x= -3(y-5)^2 +2#?
1 Answer
The graph is an "n" shape . From the equations alone, we can tell for sure that this is a quadratic equation (either "u" or "n" shaped).
Explanation:
Expand the equation to get;
- Find turning points and determine if they are maximum points or minimum points.
- Next, find points of intersection on the vertical and horizontal axis.
Finding turning points (
Hence,
The turning point is at coordinate
Finding intersections :
Vertical axis ;
Let
Horizontal axis :
Use
You should get something like this (scroll on the graph to get a better view):
PS: Feel free to ask away any questions.
graph{-3x^2+30x-73 [-11.25, 11.25, -5.625, 5.625]} :