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Exercises Roots and quadratic equations

Example 10.43 from Elementary Algebra, 10.5 Graphing Quadratic Equations

Graphing Quadratic Equations: example 10.43

Graph $y = x^{2} - 1$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

1

Solution

We will graph the equation by plotting points.

Choose integers values for x, substitute them into the equation and solve for y.
Record the values of the ordered pairs in the chart.
Plot the points, and then connect them with a smooth curve. The result will be the graph of the equation $y = x^{2} - 1$ .

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Graph $y = − x^{2}$ .

How did it go?

PreviousSolve Applications Modeled by Quadratic Equations: example 10.42 Next Graphing Quadratic Equations: example 10.44

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 10.5, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.