Question 785628: Can you show me how to graph the following inequality?
xLess than or equal to - ySquared + 6y - 6.7
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! graph the following inequality?
xLess than or equal to - ySquared + 6y - 6.7
----
Graph the boundary by completing the square on the y-terms::
----------------
x = -(y^2-6y) -6.7
-----
x = -(y^2-6y+9) -6.7+9
-----
x = -(y-3)^2 + 2.3
---------
Plot the vertex at (2.3,3)
Plot the x-intercept at y = -6.7
---------
Draw the boundary curve as a parabola opening left from (2.3,3)
------
Shade the outside the parabola.
------
The graph is the union of the boundary and the points outside.
===================
Cheers,
Stan H.
|
|
|
