A graphing calculator can be a very helpful tool when graphing parabolas. This concept outlines how to use the TI-83/84 to graph and find certain points on a parabola.
If your graph does not look like this one, there may be an issue with your window. Press ZOOM and then 6:ZStandard, ENTER. This should give you the standard window.
Using your graphing calculator, find the vertex of the parabola from Example A.
The vertex is (0.5625, 10.0625). Therefore, the maximum height is reached at 0.5625 seconds and that maximum height is 10.0625 feet.
- of a quadratic equation is
- Graph y=x2,y=3x2, and y=12x2 on the same set of axes in the calculator. Describe how a effects the shape of the parabola.
- Graph y=x2,y=−x2, and y=−2x2 on the same set of axes in the calculator. Describe how a effects the shape of the parabola.
- Graph y=x2,y=(x−1)2, and y=(x+4)2 on the same set of axes in the calculator. Describe how h effects the location of the parabola.
- Graph y=x2,y=x2+2, and y=x2−5 on the same set of axes in the calculator. Describe how k effects the location of the parabola.
Real World Application The path of a baseball hit by a bat follows a parabola. A batter hits a home run into the stands that can be modeled by the equation y=−0.003x2+1.3x+4, where x is the horizontal distance and y is the height (in feet) of the ball. Find the maximum height of the ball and its total distance travelled.