Question

Four transformations of the function f(x) are given below. For each transformation, drag the graph that shows the results of that transformation into the box under it.

Answer 1

The graph that has been drag into the box in the image attached are the options that shows the results of that transformation.

What is the Function transformation about?

Note that there are 4 types of function transformations which are are:

• Dilation
• Translation
• Rotation
• Reflection

Therefore, The function above is known to have passed through the following points

(1,1) and (0,-1)

The graphs of the functions

(a) Function g(x)

The equation of the function is given as: g (x) = 2 + f (x)

This implies that f(x) is said to be translated up by 2 units.

The graph that shows this is graph (b)

(b) Function h(x) = f (x + 2)

This implies that f(x) is translated left by 2 units.

The graph that shows this is graph (e)

(c) Function k(x)  = f (x) -2

This implies that f(x) is translated down by 2 units.

The graph that shows this is graph (c)

(d) Function m(x) =  f (x - 2)

This implies that f(x) is translated right by 2 units.

The graph that depicts this is graph (f)

Therefore,  The graph that has been drag into the box in the image attached are the options that shows the results of that transformation.

Learn more about transformation at:

brainly.com/question/26092237