Question

Fas

Answer 1

The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

What is transformation of a function?

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

• Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
• Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.

The given function is,

$f(x) = x^3$

This function is changed to the function,

$g(x) = 2f(x -3),$

Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.

Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.

Learn more about the transformation of a function here;

brainly.com/question/10904859

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