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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

2. Quadratic Functions

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Exercise 43 Page 558

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

Practice makes perfect

We want to graph the given quadratic function. y=- 1/2x^2 + 1

To do so, we will first make a table of values.

x	- 1/2x^2 +1	y=- 1/2x^2 +1
0	- 1/2( 0)^2 +1	1
2	- 1/2( 2)^2 +1	- 1
4	- 1/2( 4)^2 +1	- 7

Note that since the given function has the form y=ax^2+c the axis of symmetry is the vertical line x= 0. Now, let's plot the obtained points and their reflections across the axis of symmetry. Then we can connect them with a parabola.

Subchapter links

Lesson Check p.556

Practice and Problem-Solving Exercises p.556-558

Standardized Test Prep p.558

Mixed Review p.558