Mai is learning to create computer animation by programming. In one part of her animation, she uses a[br]quadratic function to model the path of the main character, an animated peanut, jumping over a wall.[br][br]Mai uses the equation y = -0.1(x - h)² + k to represent the path of the jump. y represents the height of the peanut as a function of the horizontal distance it travels, x. [br][br]On the screen, the base of the wall is located at (22, 0), with the top of the wall at (22, 4.5). The dashed curve in the picture shows the graph of 1 equation Mai tried, where the peanut fails to make it over the wall.[br][br][img]data:image/png;base64,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[/img][br][br]What are the values of h and k in this equation?
This applet is programmed to use Mai’s equation. Experiment with the applet to find an equation to get the peanut over the wall, and keep it on the screen. Choose values for h and k that will guarentee the peanut stays on the screen but also makes it over the wall.[br][br]Click [url=https://im.kendallhunt.com/HS/students/1/6/17/index.html][color=#0000ff]here[/color][/url] for applet link.[br][br][br]
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[/img]