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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.

Solution Summary

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