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Home > CCA > Chapter 11 > Lesson 11.2.2 > Problem 11-48

11-48.
  1. Given the quadratic function f(x) = x2 − 3, find the new expression for each part below and describe the transformation. 11-48 HW eTool (Desmos). Homework Help ✎

    1. f(x) − 2

    2. −2 · f(x)

    3. f(x − 2)

    4. f(−2x)

See problems 11−10 and 11−22 for additional help.

Substitute x2 − 3 for f(x).
f(x) − 2
(x2 − 3) − 2
What effect will that have on the graph?

x2 − 5

See the help for part (a).

Reflected over x-axis, stretched.

Substitute (x − 2) for x in x2 −3.
f(x) = x2 − 3
f(x − 2) = (x − 2)2 − 3

Shifted right 2 units.

See help for part (c).

Use the eTool below to help you explore the transformations.
Click on the link at right for the full eTool version: CCA 11-48 HW eTool