Question

Given the function f(x)=x3
, analyze the changes in the graph to determine which statement best describes the graph of g(x)=−12f(x)
.(1 point)
Responses

The graph will undergo a reflection due to the negative sign, and a vertical compression because 0<|a|<1
.
The graph will undergo a reflection due to the negative sign, and a vertical compression because 0 is less than absolute value of A comma absolute value of A is less than 1 .

The graph will undergo a vertical stretch because 0<|a|<1
.
The graph will undergo a vertical stretch because 0 is less than absolute value of A comma absolute value of A is less than 1 .

The graph will undergo a reflection due to the negative sign, and a vertical stretch because |a|>1
.
The graph will undergo a reflection due to the negative sign, and a vertical stretch because absolute value of A is greater than 1 .

The graph will only undergo a reflection due to the negative sign.

Answer 1

g(x) = −12f(x) = −12x^3 multiplies outputs by −12. The negative sign reflects the graph across the x‑axis, and |−12| = 12 > 1 so the graph is vertically stretched by a factor of 12.

So: "The graph will undergo a reflection due to the negative sign, and a vertical stretch because |a|>1."