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Big Ideas Math Algebra 1 A Bridge to Success

BI

Big Ideas Math Algebra 1 A Bridge to Success View details

1. Graphing f(x) = ax^21

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Exercise 8 Page 423

Make a table to find points on the curve. Then plot and connect the points.

Graph:

Comparison to the graph of f(x)=x^2: There is a vertical shrink by a factor of 0.75 of the graph of f.

Practice makes perfect

To graph the function we will make a table of values.

x	0.75x^2	j(x)=0.75 x^2
- 2	0.75 ( - 2)^2	3
- 1	0.75 ( - 1)^2	0.75
0	0.75 ( 0)^2	0
1	0.75 ( 1)^2	0.75
2	0.75 ( 2)^2	3

Let's now draw the parabola that connects the obtained points. We will also draw the parent function f(x)=x^2.

From the graph above, we can note the following.

Both graphs open up.
Both graphs have the same axis of symmetry x=0.
The graph of the given function is wider than the graph of the parent function.
Both graphs have the same vertex (0,0).

From the graph and the observations above, we can conclude that the graph of j is a vertical shrink by a factor of 0.75 of the graph of f.

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Exercises p.423