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McGraw Hill Glencoe Algebra 1, 2017
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McGraw Hill Glencoe Algebra 1, 2017 View details
1. Graphing Quadratic Functions
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Exercise 1 Page 565

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

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arrow_right Check Your Understanding p.565
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arrow_right Preparing for Assessment p.569
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