Question

the table of values represents (u(x)).

describe the transformed function (v(x) = 20u(x)).

• the function (v(x)) is a vertical stretch of (u(x)).
• the function (v(x)) is a vertical compression of (u(x)).
• the function (v(x)) is a horizontal stretch of (u(x)).
• the function (v(x)) is a horizontal compression of (u(x)).

Explanation:

Identify the transformation type

$$ v(x) = a \cdot u(x) \quad \text{where} \quad a = 20 $$

Determine the effect of the scale factor

$$ |a| = 20 > 1 \implies \text{vertical stretch} $$

Answer:

• The function v(x) is a vertical stretch of u(x). (Correct answer)
• The function v(x) is a vertical compression of u(x).
• The function v(x) is a horizontal stretch of u(x).
• The function v(x) is a horizontal compression of u(x).