Given the parent function of 1/x, state the type of transformation that occured to get the function below. 1/x+2 a. shift up b. shift down c. shift left d. shift right

When two or more transformations are combined to form a new transformation, the result is called a sequence of transformations, or a composition of transformations. Remember, that in a composition, one transformation produces an image upon which the other transformation is then performed. Sequences of transformations applied to functions work in a similar manner. When working with composition of transformations, it was seen that the order in which the transformations were applied often changed the outcome. This same potential problem is present when working with a sequence of transformations on functions.  

For example, given the function of y = x2, a vertical stretch of 3 followed by a vertical shift of 2 will not produce the same graph as a vertical shift of 2 followed by a vertical stretch of 3.There are, however, certain situations where the order is not important and the same graph will exist regardless of the order in which the transformations are applied.  

Be careful not to assume that this will be the case in all problems.To determine when order of sequences of transformations affects function graphs:

point

• If two or more of the transformations have a vertical effect on the graph, the order of those transformations will most likely affect the graph.  

• If two or more of the transformations have a horizontal effect on the graph, the order of those transformations will most likely affect the graph.  

• Vertically oriented transformations and horizontally oriented transformations to not affect one another.Consider the problem f (x) = 2(x + 3) - 1.

The parent function is f (x) = x, a straight line.

It can be seen that the parentheses of the function have been replaced by x + 3, as in f (x + 3) = x + 3. This is a horizontal shift of three units to the left from the parent function.

The multiplication of 2 indicates a vertical stretch of 2, which will cause to line to rise twice as fast as the parent function. The parent has a slope of 1, whereas this new function will have a slope of 2.

The subtraction of 1 indicated a vertical shift of one unit down. There was a pattern to the order in which this problem was analyzed (horizontal shift - - vertical stretch - - vertical shift). This pattern is similar to order of operations. The parentheses were done first, then any multiplication/division, followed by any addition/subtraction. So the Answer  is A

answer: y=0 if that is what u r looking for

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.