Transformations

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

• f(x - 3)
• f(x + 3)
• f(x) + 3
• f(x) - 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?

• f(x + 2)
• f(x) + 2
• f(x - 2)
• f(x) - 2

Tags

CCSS.HSF.BF.B.3

The original graph is f(x). The new graph has been reflected across the x axis. The equation for the new graph in f(x) notation is:

• -f(x)
• f(-x)

Tags

CCSS.HSF.BF.B.3

The original graph is f(x). The new graph is vertically stretched by a factor of 2. What is the equation for the new graph?

• 2f(x)
• f(2x)

Tags

CCSS.HSF.BF.B.3

The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:

• f(x + 3) - 4
• f(x - 4) + 3
• f(x + 4) + 3
• f(x + 3) + 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

The original graph is f(x). The new graph has been reflected across the y-axis and moved 6 to the right. Which of the following represents the new graph?

• f(x - 6)
• -f(x + 6)
• f(-x - 6)
• f(-x + 6)

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

The original graph is f(x). The new graph is up 5, left 3, and reflected across the x-axis.

• f(x + 3) + 5
• -f(x - 3) + 5
• -f(x + 3) + 5
• -f(x + 5) + 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

The original graph is f(x). The new graph has been vertically stretched by a factor of 4 and translated down 4.

• f(4x - 4)
• 4f(x -4)
• f(4x) - 4
• 4f(x) - 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

The original graph is f(x). The new graph is translated 5 down, reflected across the x-axis, and translated 3 to the left.

• f(x + 3) - 5
• -f(x + 3) - 5
• -f(x - 5) + 3
• f(-x + 3) -5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

Which function shows a vertical stretch by a factor of 4 and up 3 units

• f(x + 4) + 3
• 3f(x) + 4
• 4f(x + 3)
• 4f(x) + 3

Tags

CCSS.HSF.BF.B.3