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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

1. Graphing Quadratic Functions

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Exercise 72 Page 552

The graph of a quadratic function is a parabola.

See solution.

Practice makes perfect

We are asked to describe a real-world situation that involves a quadratic equation. Let's recall that the graph of a quadratic function is a parabola.

Let's look at a couple of examples.

Throwing a Ball

When we throw a football, or any other object, the path it takes through the air can be modeled by a quadratic function.

When we throw the ball, there are some questions that we might ask.

When does the football reach its maximum height?
What is its maximum height?

We can answer these question by finding the vertex of the parabola.

The x-coordinate of the vertex tells us when the ball reaches the maximum height, and the y-coordinate tells us the maximum height of the ball.

Parabolic Arches

A parabolic arch is an arch in the shape of parabola. Some of the places that we can see parabolic arches are in huge buildings and on bridges.

The Gateway Arch monument in St. Louis, Missouri.

The Golden Gate Bridge.

Gloucester Cathedral in Gloucester, England.

The vertex of each arch represents the highest or the lowest point in each arch.

Subchapter links

Practice and Problem Solving p.550-552

H.O.T. Problems p.552

Standardized Test Practice p.553

Spiral Review p.553

Skills Review p.553