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Big Ideas Math Algebra 1, 2015
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Big Ideas Math Algebra 1, 2015 View details
3. Solving Radical Equations
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Exercise 87 Page 566

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 3 of the graph of f.

Practice makes perfect

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

x 3 x^2 r(x)=3 x^2
- 2 3( - 2)^2 12
- 1 3( - 1)^2 3
0 3( 0)^2 0
1 3( 1)^2 3
2 3( 2)^2 12

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 r is a vertical stretch by a factor of 3 of the graph of f.

Subchapter links expand_more
arrow_right Communicate Your Answer p.559
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Communicate Your Answer 4 (Page 559)
arrow_right Monitoring Progress p.560-563
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Monitoring Progress 7 (Page 561)
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arrow_right Exercises p.564-566
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