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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Mid-Chapter Quiz

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Exercise 2 Page 132

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

Graph:

Domain: All real numbers
Range: y≥ 1

We want to graph the given quadratic function. y=2x^2-4x+3 To do so, we will first make a table of values.

x	2x^2-4x+3	y=2x^2+4x+3
-2	2( -2)^2-4( -2)+3	19
-1	2( -1)^2-4( -1)+3	9
0	2( 0)^2-4( 0)+3	3
1	2( 1)^2-4( 1)+3	1
2	2( 2)^2-4( 2)+3	3

Now, let's plot the obtained points and connect them with a parabola.

We can see above that the x-variable can take any value. Conversely, the y-variable only takes values greater than or equal to 1. Using this information, we can write the domain and range of the function. Domain:& All real numbers Range:& y≥ 1