Analyze Transformations and Piece-Defined Functions

Describe the transformation of y = f(x) for the new function
 y = f(- x)

• The graph of y = f(x) was flipped vertically across the x axis. 

• The graph of y = f(x) was flipped horizontally across the y axis.

• The graph of y = f(x) was shifted down.

• The graph of y = f(x) was shifted up

Which equation describes the transformation of shifting f(x)=x³ seven units up?

• x³+7

• x³-7

• (x-7)³

• (x+7)³

Which equation describes the transformation of shifting f(x)=x³ two units right?

• x³ + 2

• x³ - 2

• (x + 2)³

• (x - 2)³

Which equation describes the transformation of shifting f(x)=x³ three units left?

• x³ + 3

• x³ - 3

• (x + 3)³

• (x - 3)³

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Which equation describes the transformation of shifting f(x)=x³ four units down?

• x³+ 4

• x³- 4

• (x - 4)³

• (x + 4)³

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^x-3

• shifted up three units

• shifted down three units

• shifted left three units

• shifted right four units

What is the value of the expression f(–3) + 2f(–1) – f(4)?

• 101/36

• 32/6

• 4

• 22

What is f(x) when x equals 4?

• -5

• 0

• 3

• 6

What is the value of the expression f(–3)?

• -15

• 3

• -3

• 15