Which of the following correctly identifies how compares to its parent
function? (1 point)
is the result of the cubic parent function being vertically translated up.
is the result of the cubic parent function being vertically stretched.
is the result of the cubic parent function being vertically translated down.
is the result of the cubic parent function being vertically compressed.

Ask by Wyatt Munoz. in the United States

Jan 23,2025

Question

Which of the following correctly identifies how compares to its parent
function? (1 point)
is the result of the cubic parent function being vertically translated up.
is the result of the cubic parent function being vertically stretched.
is the result of the cubic parent function being vertically translated down.
is the result of the cubic parent function being vertically compressed.

Ask by Wyatt Munoz. in the United States

Jan 23,2025

UpStudy AI · Accepted Answer

The function $$ h(x) = 2x^3 $$ is a transformation of the parent cubic function $$ f(x) = x^3 $$.

When a function is multiplied by a constant greater than 1, it results in a **vertical stretch**. In this case, the factor is 2, which means the graph of $$ h(x) $$ is stretched vertically by a factor of 2 compared to the parent function.

**Correct Answer:**
$$ h(x) $$ is the result of the cubic parent function being vertically stretched.
$$ h(x) $$ is the result of the cubic parent function being vertically stretched.

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