A parabola has vertex
If this parabola is a function, what is its equation?
Recall the standard form for the equation of a parabola:
Substitute the appropriate values for the vertex
, and and , then solve for .
Refer to problem 2-127 in Lesson 2.2.3 if you need more help.
Suppose this parabola is not a function, but is a “sleeping” parabola. Now, what is its equation?
Use the equation
where the vertex is at .
Use the eTool below to graph the equations.
Click the link at right for the full version of the eTool: INT3 2-103 HW eTool