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^7
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Exercise 3 Page 422

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

x 5x^2 g(x)=5x^2
- 1 5( - 1)^2 5
- 0.5 5( - 0.5)^2 1.25
0 5( 0)^2 0
0.5 5( 0.5)^2 1.25
1 5( 1)^2 5

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 5 of the graph of f.