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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

1. The Pythagorean Theorem

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Exercise 50 Page 618

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

Practice makes perfect

We want to graph the given quadratic function. y=- x^2+13 To do so, we will first make a table of values.

x	- x^2+13	y=- x^2+13
0	-( 0)^2+13	13
2	-( 2)^2+13	9
3	-( 3)^2+13	4

Recall that the standard form of a quadratic function has the form y= ax^2+ bx+ c. Let's identify the values of a, b, and c. y=- x^2+13 ⇔ y= - 1x^2+ 0x+ 13 We can calculate the axis of symmetry by substituting a= - 1 and b= 0 into the formula for the vertex of a parabola.

x=-b/2a

a= - 1, b= 0

x=-0/2( - 1)

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Evaluate right-hand side

Multiply

x=-0/- 2

0/a=0

x=- 0

Zero Property of Multiplication

x=0

We have calculated that the axis of symmetry is the vertical line x= . 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.616

Practice and Problem-Solving Exercises p.617-618

Standardized Test Prep p.618

Mixed Review p.618