Functions Transformations

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Reflection over the y-axis

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

The graph shows the function f(x)=x³ in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = -x³

• g(x) = x³ - 1

• g(x) = (x + 1)³

• g(x) = (x - 1)³

If the blue graph is the parent function, what is the equation of the red (transformed) function?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Rewrite f(x) = 2x - 1 shifted up three units and the slope doubled (a)  

• f(x) = 5x - 2

• f(x) = 4x + 2

• f(x) = 4x + 3

• f(x) = 5x - 4

Match the following

• The line shifted 3 units to the left.

• f(x)+3

• The line shifted 3 units up.

• f(x-6)

• The line shifted 6 units to the left.

• f(x)-6

• The line shifted 6 units to the right.

• f(x+3)

• The line shifted 6 units down.

• f(x+6)

• left

• right

• up

• down

What is the effect on the graph of the linear parent function, f(x) = x, when f(x) is replaced by f(x- 7)? Complete the sentence by selecting the correct answers from the drop-down menus. The graph of the line ​ (a)   ​ ​ (b)   7 units.

• shifts horizontally

• up

• down

• left

• right

• shifts vertically