body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Glencoe Algebra 1, 2017

MH

McGraw Hill Glencoe Algebra 1, 2017 View details

1. Graphing Quadratic Functions

Continue to next subchapter

Exercise 1 Page 565

Make a table of values and connect the obtained points with a parabola.

Graph:

Domain: All real numbers
Range: y≥ -8

Practice makes perfect

We want to graph the given quadratic function. y=2x^2+4x-6 To do so, we will make a table of values.

x	2x^2+4x-6	y=2x^2+4x-6
-3	2( -3)^2+4( -3)-6	0
-2	2( -2)^2+4( -2)-6	-6
-1	2( -1)^2+4( -1)-6	-8
0	2( 0)^2+4( 0)-6	-6
1	2( 1)^2+4( 1)-6	0

Let's now plot the obtained points on the coordinate plane and connect them with a parabola.

We see above that the x-variable can take any value. Conversely, the y-variable only takes values greater than or equal to -8. Using this information, we can write the domain and range of the function.

Domain:& all real numbers Range:& y≥ -8

Subchapter links

Check Your Understanding p.565

Practice and Problem Solving p.566-568

H.O.T. Problems p.568

Preparing for Assessment p.569