Big Ideas Math Algebra 1 A Bridge to Success
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Big Ideas Math Algebra 1 A Bridge to Success View details
1. Graphing f(x) = ax^18
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Exercise 5 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 stretch by a factor of 6 of the graph of f.

Practice makes perfect

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.

  • Both graphs open up.
  • Both graphs have the same axis of symmetry x=0.
  • The graph of the given function is narrower 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 g is a vertical stretch by a factor of 6 of the graph of f.