Question

Function h is a transformation of the parent exponential function, f(x)=2^x. h(x)=-3*2^x Which statement is true?

A. Function h is a vertical translation of function f. B. Function h is a reflection and a dilation of function f. C. Function h is a reflection and a translation of function f. D. Function h is a horizontal translation of function f.

Answer 1

Answer:

Function is a reflection and dilation of function f.

Step-by-step explanation:

A reflection gives the mirror image of function.

A function can be reflected about an axis by multiplying by -1.

To reflect function about the x-axis, multiply f(x) by -1 to get -f(x).

Answer 2

The correct option is: B. Function h is a reflection and a dilation of function f.

-----------------------

The functions are:

$f(x) = 2^x$

$g(x) = -3 \times 2^x$

It can be seed that g is f multiplied by -3.

• The multiplication by a constant means that a dilation happened.
• Since the constant is negative, it means that a reflection also happened.

In the image at the end of this question, it can be seen that the g, the blue graph, is a reflected and dilated version of f, the red graph.

Thus, the correct answer is:

B. Function h is a reflection and a dilation of function f.

A similar problem is found at https://brainly.com/question/17673148