Transformations Review

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical compression by a factor of 3
• horizontal shift to the left 2 and vertical compression by a factor of 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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)

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

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

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

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.B.4

CCSS.HSG.CO.A.2

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Vertical Compression by a factor of 2
• Vertical Stretch by a factor of 2
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = 5f(x)

• The graph of y = f(x) compressed horizontally by a factor of 1/5
• The graph of y = f(x) was stretched horizontally by a factor of 5
• The graph of y = f(x) was compressed vertically by a factor of 1/5
• The graph of y = f(x) was stretched vertically by a factor of 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

f(x)=(1/5x)²

• Vertically stretch by factor of 5

• Horizontally stretch by factor of 5

• Vertically compress by factor of 1/5

• Horizontally compress by factor of 1/5

The graph of

f(3x)

causes what to happen to the graph of

f(x)

• Stretch vertically

• Compress vertically

• Stretch horizontally

• Compress horizontally

The graph of

6 f(x)

causes what to happen to the graph of

f(x)

• Stretch vertically

• Compress vertically

• Stretch horizontally

• Compress horizontally