1. Graphing f(x) = ax^18
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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 stretch by a factor of 6 of the graph of f.
To graph the function we will make a table of values.
x | 6x^2 | g(x)=6x^2 |
---|---|---|
- 1 | 6( - 1)^2 | 6 |
- 0.5 | 6( - 0.5)^2 | 1.5 |
0 | 5( 0)^2 | 0 |
0.5 | 6( 0.5)^2 | 1.5 |
1 | 6( 1)^2 | 6 |
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.
From the graph and the observations above, we can conclude that the graph of g is a vertical stretch by a factor of 6 of the graph of f.