Question

Which of the following correctly identifies how h(x)=2x3
compares to its parent function?(1 point)
Responses

h(x)
is the result of the cubic parent function being vertically stretched.
h left parenthesis x right parenthesis is the result of the cubic parent function being vertically stretched.

h(x)
is the result of the cubic parent function being vertically translated up.
h left parenthesis x right parenthesis is the result of the cubic parent function being vertically translated up.

h(x)
is the result of the cubic parent function being vertically translated down.
h left parenthesis x right parenthesis is the result of the cubic parent function being vertically translated down.

h(x)
is the result of the cubic parent function being vertically compressed.

Answer 1

h(x) = 2x^3 is a vertical stretch of the cubic parent function y = x^3 by a factor of 2 (all y-values are doubled), so the graph is steeper but not translated.