Question

the function p(x) is shown in the graph.

describe the transformation of q(x) = p(0.4x) on p(x).

the function p(x) is stretched horizontally to form q(x).
the function p(x) is stretched vertically to form q(x).
the function p(x) is compressed horizontally to form q(x).
the function p(x) is compressed vertically to form q(x).

Explanation:

Identify the transformation type

Using the Function Transformations knowledge point

$$ q(x) = p(bx) \quad \text{where} \quad b = 0.4 $$

Determine the horizontal effect

Using the Function Transformations knowledge point

$$
LATEXBLOCK0
$$

Answer:

• The function p(x) is stretched horizontally to form q(x). (Correct answer)
• The function p(x) is stretched vertically to form q(x).
• The function p(x) is compressed horizontally to form q(x).
• The function p(x) is compressed vertically to form q(x).