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.

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

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