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Pearson Algebra 1 Common Core, 2015

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Pearson Algebra 1 Common Core, 2015 View details

Chapter Test

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Exercise 1 Page 607

Start by identifying the values of a, b, and c.

Graph:

Practice makes perfect

To draw the graph of the related function written in standard form, we must start by identifying the values of a, b, and c. f(x)= 3x^2-7 ⇕ f(x)=3x^2+ x+(- 7) We can see that a=3, b= , and c=- 7. Now, we will follow three steps to graph the function.

Find the axis of symmetry.
Make a table of values using x values around the axis of symmetry.
Plot and connect the points with a parabola.

Finding the Axis of Symmetry

The axis of symmetry is a vertical line with equation x=- b2a. Since we already know the values of a and b, we can substitute them into the formula.

x=- b/2a

a= 3, b=

x=- /2(3)

0/a=0

x=0

The axis of symmetry of the parabola is the vertical line with equation x=0.

Making the Table of Values

Next, we will make a table of values using x values around the axis of symmetry x=0.

x	3x^2-7	y
- 2	3( - 2)^2-7	5
- 1	3( - 1)^2-7	- 4
0	3( 0)^2-7	- 7
1	3( - 1)^2-7	- 4
2	3( 2)^2-7	5

Plotting and Connecting the Points

We can finally draw the graph of the function. Since a=3, which is positive, the parabola will open upwards. Let's connect the points with a smooth curve.

Subchapter links

Exercises p.607