Which of the following describes the transformations of g(x)=-(2)^x+4-2 from the parent function ? shift 4 units left, reflect over the x-axis, shift 2 units downshift 4 units left, reflect over the y-axis, shift 2 units downshift 4 units right, reflect over the x-axis, shift 2 units downshift 4 units right, reflect over the y-axis, shift 2 units down

The correct option is A) shift 4 units left, reflect over the x-axis, shift 2 units down.

Step-by-step explanation:

Consider the provided information

The parent function for the provided function is and we need to find the transformations that gives from the parent function.

The rules for transformation are:

Graph shifted upwards by c units.

Graph shifted downwards by c units.

Graph shifted to right by c units.

Graph shifted to left by c units.

Graph reflected across y-axis.

Graph reflected across x-axis.

Now consider the given function replace x with -x  

which shows the function reflected across x-axis.

Now observe the parents function and provided function f(x) and g(x),we can observe the transformations:

The parent function is shifted to left by 4 units. From the above rule.

The parent function   is shifted downwards by 2 units. Because of -2

Hence, the correct option is A) shift 4 units left, reflect over the x-axis, shift 2 units down.

the answer is y = 11.54

hope this : )

yx = 36

step-by-step explanation:

cos f = opposite side/ hypotenuse

cos f = yw / yx

we know cos f = 4/9 and yw =16

4/9 = 16/yx

multiply each side by yx

4/9 yx = 16/ yx * yx

4/9 yx = 16

multiply each side by 9/4

9/4 * 4/9 yx = 16 *9/4

yx = 36