special functions, algebra 2 multiple choice questions help

For each of the questions, provide the correct answer and explanation. Double check all work for accuracyWhich equation is shown in the graph?a. y = [[x]]b. y = [[x + 3]]c. y = [[x]] - 3d. y = |x - 3|=========================================================Which function is shown in the graph?a. y = | x | + 4b. y = | x + 4 |c. y = | x | - 4d. y = | x - 4 |=============================================================Given the function: f(x) = - | x+4| Describe the transformations to the functionA. moves to the right 4 units and is wider than the parent functionB. moves to the left 4 units and is wider than the parent functionC. moves to the right 4 units, is wider than the parent function, and is flipped over the x-axisD. moves to the left 4 units, is wider than the parent function, and is flipped over the x-axis========================================================================Given the function: f(x) = 2|x-2| + 3 Describe how the function is transformeda. Moves to the right by 2 and up by 3 unitsB. Moves to the left by 2, up 3 units, and is steeper than the parent functionC. Moves to the right by 2, up 3 units, and is steeper than the parent functionD. Moves to the left by 2, up 3 units, and is flatter than the parent function========================================================================For which function is the range {y | y  0}?a. f(x) = - xb. f(x) = [[x]]c. f(x) = | x |d. f(x) = - | x |-------------------------------------------------------------------------------------------------------------------------------------Which piecewise function is equivalent to the absolute value function and its graph?y = 2|x - 4| + 2A.B.C.D.====================================================================================Which of the following situations could be graphed using a step function?a. The cost for a phone plan is $25 per month and 10 cents per minute.b. McDonalds employees get paid $7.25 per hour up to 40 hours and they make $10.88 per hour if they work over $40 hours.c. A t-shirt company charges a flat fee of $35 plus $4 per shirt for up to 100 shirts. If more than 100 shirts are ordered, the cost is $35 plus $2 per shirt.d. A phone company charges $40 if you use less than 250 minutes, $75 if you use between 250-450 minutes, and $100 for more than 450 minutes.======================================================================Which graph shows the piecewise function given below?A.B.C.D.============================================================================Which of the following represents a step function?A.B.C.D.==============================================================================A.B.C.D.