A8-15.2 Graphing Logarithmic Functions

Graph the logarithmic function z(x) = -log x + 7. Find the asymptote. Then describe how the graph is transformed from the graph of its parent function.

• [Graph] Asymptote: x = 0. The graph z(x) is a translation down 7 units and a reflection across the x-axis of the parent function f(x) = log x.

• [Graph] Asymptote: x = 7. The graph z(x) is a translation left 7 units and a reflection across the y-axis of the parent function f(x) = log x.

• [Graph] Asymptote: x = 0. The graph z(x) is a translation up 7 units and a reflection across the y-axis of the parent function f(x) = log x.

• [Graph] Asymptote: x = 0. The graph z(x) is a translation up 7 units and a reflection across the x-axis of the parent function f(x) = log x.

The graph of which function is vertically stretched by a factor of 3 and translated 4 units right from the graph of the parent function?

The graph of which function is vertically shrunk by a factor of 1/3 and translated 8 units right from the graph of the parent function?

The graph of which function is vertically stretched by a factor of 2 and translated 7 units left from the graph of the parent function?

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.5

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Match the following transformations

• Horizontal Shift Left 10

• Reflection across the x-axis

• Vertical Shift Up 3

• Vertical Stretch

• Vertical Compression

• down
• left
• right
• 4
• up
• 7

• up
• right
• 3
• down
• left
• 5