Functions (exponential and logarithmic)

• Right 5 units and down 7 units

• Left 5 units and down 7 units

• Left 7 units and up 5 units

• Right 7 units and down 5 units

For  $y=a\left(b\right)^x+k$  , how can the coefficient transform the function?

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Reflection over the y-axis

What does it mean if (a) is negative in this function:

-3Log₅(x + 5) - 4

• Shifted horizontally

• Shifted vertically

• Flipped / Reflected

In the general log function 
y = a*log_b(x-h)+k, what letter tells us the base of the log?

• a
• b
• h
• k

• Translated up 5

• Translated down 5

• Reflection over the x-axis

• Reflection over the y-axis

 $y=8\left(2\right)^{x-3}+5$  

What transformations have occurred on this function?  Select ALL that apply.

• Stretched by a factor of 8

• Compressed by a factor of 8

• Shifted 5 units up

• Shifted 3 units to the right

• Shifted 3 units to the left

• vertical shrink by 1/5

• vertical stretch by 1/5

• left 7

• right 7

• up 7

Tags

Transformations

Describe the graph of f(x) = log x changed to

f(x) = 3log(x + 1) - 5

• vertical stretch by 3 and shift right 1 and 5 units down

• vertical stretch by 3 and shift left 1 and 5 units down

• vertical compress by 3 and shift right 1 and 5 units down

• vertical compress by 3 and shift left 1 and 5 units down

How did the graph transform from the parent function?

y=-2^(x+5)-6

• Flipped over the x-axis, Left 5 and Down 6

• Flipped over the x-axis, ight 5 and Down 6

• Left 5 and Down 6

• Right 5 and Down 6

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees cw around the origin

• Rotate 90 degrees cw around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees ccw about the origin.