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Home > CCA > Chapter 11 > Lesson 11.1.1 > Problem 11-10

11-10.
  1. Given the function f(x) = x2 − 3, find the new expression for each part below and describe the transformation. 11-10 HW eTool (Desmos). Homework Help ✎

    1. f(x) + 2

    2. 2 · f(x)

    3. f(x + 2)

    4. f(2x)

Substitute x2 − 3 for f(x), then simplify.

x2 − 1
Shifted up two units.

See the help for part (a).

2x2 − 6

Substitute x + 2 for x
in x2 − 3, then simplify.

f(x) = x2 − 3
f(x + 2) = (x + 2)2 − 3
x2 + 4x + 1
Shifted left 2 units.

4x2 − 3

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