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Word problems, Quadratic Equations and Inequalities

Word Problem

Diagonal Brace: The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures √6m. Find the width and height.

Graph each parabola.

y = -1/3*(x^2) + 5


Find the vertex and intercept for each parabola.

g(x) = x^2 +x-6


Word problem

Maximum Height. If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16t^2 + 32t. When t is time in seconds, graph this parabola for 0 ≤ t ≤ 2. What is the maximum height reached by the ball?

NOTE to OTAs: Please help me with the above. I am having a hard time with all of them and I just want to make sure I can understand what I am doing so I can do it on my own with all the rest. The more steps you can provide me with the better. Thank you so much for any help youcan give me.

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Solution Summary

This solution shows how to graph the equations with all work and graphs formatted in an attached Word document.