Which steps transform the graph of y = x2 to y = –2(x – 2)2 + 2? (1 point) a. translate 2 units to the left, translate down 2 units, stretch by the factor 2 b. translate 2 units to the right, translate up 2 units, stretch by the factor 2 c. reflect across the x-axis, translate 2 units to the left, translate down 2 units, stretch by the factor 2 d. reflect across the x-axis, translate 2 units to the right, translate up 2 units, stretch by the factor 2

The correct option is D.

Step-by-step explanation:

The parent function is

The transformed function is

             .... (1)

The translation is defined as

               .... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (1) and (2) it is clear that

It means,

a=-2<0 the graph shifts 2 units right.

b=2>0 the graph shifts 2 units up.

k=-2, the graph reflect across the x-axis and stretch by the factor 2.

The graph reflect across the x-axis, translate 2 units to the right, translate up 2 units, stretch by the factor 2. Therefore the correct option is D.

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05