Quadratic Equations and their Related Functions Answers

The quadratic function f(x) = –x2 – 6x – 8 is graphed.

Which quadratic function has one real solution?

Solve 0 = 5x2 – 1.5x – 0.5 by using the graphing calculator to graph the related function. What are the solutions to the equation?

Use the graph of the function y = (x + 3)(x − 2) to find the solutions of the quadratic equation 0 = (x + 3)(x − 2).

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Use the graphing calculator to graph and find the zeros of the function y = 2x2 + 0.4x – 19.2. The zeros of the function are

Which graph represents a quadratic function that has no real zeros?

Which graph represents a quadratic function that has one real zero?

The path of a flying fish as it made its approach to the surface of the ocean and flew out of the water is represented by the quadratic function h(t) = -t2 + 6t - 5, where t represents the time, in seconds, and h(t) represents the fish's height and depth, in feet. Graph the function using the graphing calculator. To the nearest second, how long was the fish out of the water?

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