Exponential and Log Transformations

Identify the transformed function that represents f(x) = log x stretched vertically by a factor of 17, reflected over the x-axis and shifted by 19 units left.

• g(x) = -17 log (x + 19)

• g(x) = -17 log (x - 19)

• g(x) = 17 log (x + 19)

• g(x) = -17 log (x - 19)

The graph fo y = 3^x was transformed to y = 3^{(x - 5)} + 2

Which statement correctly describes the transformation.

• The graph was translated 2 units up and 5 units right.

• The graph was translated 5 units down and 2 units left.

• The graph was translated 2 units up and 5 units left.

• The graph was translated 5 units down and 2 units right.

If the graph if f(x) = log(x) is shifted 6 units to the left, then what would be the equation of the new graph?

• g(x) = log(x + 6)

• g(x) = log(x) + 6

• g(x) = log(x) - 6

• g(x) = log(x - 6)

Tags

CCSS.HSF.BF.B.3

What happens to the graph of y = log(x) when the equation changes to y = log (x -7) ?

• The graph shifts up 7 units

• The graph shifts right 7 units

• The graph shifts down 7 units

• The graph shifts left 7 units

In which direction must the graph of f(x) = log(x) be shifted to produce the graph of g(x) = log(x) + 7

• down

• up

• left

• right

Tags

CCSS.HSF-IF.C.7E

Consider the function f(x) = 4^x . The function was transformed to g(x) = 4^{(x + 7)} - 9. Describe the transformation.

• f(x) was shifted 7 units to the right and 9 units down to get to g(x)

• f(x) was shifted 7 units to the left and 9 units down to get to g(x)

• f(x) was shifted 9 units to the right and 7 units down to get to g(x)

• f(x) was shifted 9 units to the left and 7 units down to get to g(x)

Tags

CCSS.HSF.BF.B.3

The function f(x) = log (x + 1) is reflected across the x axis and translated 4 units down. What is the transformed function?

• -log(x + 1) + 4

• -log(x + 1) - 4

• log(-x + 1) + 4

• log(-x + 1) - 4

The function f(x) = 5^x is reflected across the y axis and translated 7 units up. What is the transformed function?

• 5^{(x + 7)}

• 5^x + 7

• 5^(-x) + 7

• -5^x + 7

 Consider the function  $f\left(x\right)=\ 8^x$   and the function

 $g\left(x\right)=\frac{1}{2}\cdot8^x$  How is g(x) different than f(x)?

• g(x) is the graph of f(x) vertically compressed by a factor of 2

• g(x) is the graph of f(x) vertically stretched by a factor of 2

• g(x) is the graph of f(x) vertically stretched by a factor of 1/2

• g(x) is the graph of f(x) vertically compressed by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

 Consider the function  $f\left(x\right)=\ 3^x$   and the function

 $g\left(x\right)=5\cdot3^x$  How is g(x) different than f(x)?

• g(x) is the graph of f(x) vertically compressed by a factor of 5

• g(x) is the graph of f(x) vertically stretched by a factor of  1/5

• g(x) is the graph of f(x) vertically stretched by a factor of 5

• g(x) is the graph of f(x) vertically compressed by a factor of 1/5

Tags

CCSS.HSF.BF.B.3