Describe the transformation(s) of the parent function h(x)=12f(x)+2

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The description of the transformation of the parent function is that the function f(x) is vertically stretched by a factor of 12 and then translatedup by 2 units to form h(x).

Here,

The function is given as;

h(x) = 12f(x) + 2

We have to describe the transformation(s) of the parent function.

How to describe the transformation(s) of the parent function?

Let the function g(x) is given as:

g(x) = a f(x) + b

Where, f(x) is the parent function.

Now,

In the function,

h(x) = 12f(x) + 2

Term 12 is implies that,

Function f(x) is vertically stretched by factor of 12.

And, The term 2 in h(x) = 12f(x) + [2] implies that,

The function is then translated up by 2 units.

Therefore, the description of the transformation(s) of the parent function is that the function f(x) is vertically stretched by a factor of 12 and then translated up by 2 units to form function h(x).

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Answer:

Vertical stretching by a factor of 12, followed by upward translation of 2 units.

Step-by-step explanation:

Let's assume you're starting with f(x), the parent function.

Multiplying f(x) by 12 will stretch the graph vertically by a factor of 12.  A point (1,1) on the graph of f(x) will re-appear as (1,12) after this vertical stretching.  Once you've done that, translate the entire graph upward by 2 units.