Question

Function is a transformation of the parent exponential function

Answer 1

Answer: B. function h is a reflection and a 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).

Also, dilation provides either vertical or horizontal stretch or compression.

It uses a scale factor k to multiply the function such that new function will be kf(x).

Here, $f(x)=2^x$ and $h(x)= -3\times 2^x$

We can write h(x) as

$h(x)=(-1) \times (3) \times (2^x)=(-1) \times (3) \times f(x)$

So here scale factor =3 and -1 gives it a reflection.

So, the correct statement would be B. function h is a reflection and a dilation of function f.