To find the distance at which the ball hit the ground, we need to determine the x-coordinate when y = 0.
Setting y = 0 in the equation, we get:
0 = -0.15x^2 + 1.3x + 4
Now we can graph this equation on a graphing calculator to find the x-coordinate where the ball hits the ground.
The graph of the equation y = -0.15x^2 + 1.3x + 4 is shown below:
The x-coordinate of the point where the graph crosses the x-axis is approximately 8.55 feet.
Therefore, the ball hit the ground at approximately 8.55 feet.
Jill’s coach used a computer program to help her improve the distance she can throw a softball. The computer gave a readout of the path of her best throw. The path of this throw was represented by the quadratic equation
y = –0.15x2 + 1.3x + 4, where x represents the number of feet the ball traveled and y represents the height of the ball in feet. Use the graphing calculator to graph the equation. At what distance did the ball hit the ground? Round your answer to the nearest hundredth
1 answer
1 answer