11.4 Homework: from data points to functions

Sketch a vertical parabola through the three points in each graph.

A certain function contains the points (–3,5) and (5,2).

• A

  Find the function.

• B

  Verify that it contains both points.

• C

  Sketch it on the graph paper, noting the two points on it.

A certain function contains the points (–3,5), (5,2), and (1,–4).

• A

  Find the function.

• B

  Verify that it contains all three points.

• C

  Sketch it on the graph paper, noting the three points on it.

A certain function contains the points (–3,5), (5,2), (1,–4), and (8,–2).

• A

  Find the function.

• B

  Verify that it contains the point (8,–2).

• C

  Sketch it on the graph paper (by graphing it on your calculator and then copying the sketch onto the graph paper). Note the four points on it.