Identify Transformations of Exponentials & Logs

Select all the transformations that apply.

y = log ₆ (x - 1) - 5

• Horizontal shift left 1

• Horizontal shift right 1

• Vertical shift up 5

• Vertical shift down 5

Tags

CCSS.HSF.BF.B.3

Select all the transformations that apply.

y = log ₅ (x + 1) +1

• Horizontal shift left 1

• Horizontal shift right 1

• Vertical shift up 1

• Vertical shift down 1

Tags

CCSS.HSF.BF.B.3

Select all the transformations that apply.

y = -2 log _1/2 x

• Vertical stretch by 2

• Vertical shrink by 1/2

• Reflection across the y-axis

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Select all the transformations that apply.

y = 3log ₃ (2x)

• Vertical stretch by 3

• Vertical shrink by 1/3

• Horizontal shrink by 1/2

• Horizontal stretch by 2

Tags

CCSS.HSF.BF.B.3

Select all the transformations that apply.

y = 2(3)^{x - 2}

• Vertical shrink by 1/2

• Vertical stretch by 2

• Horizontal shift right 2

• Horizontal shift left 2

Select all the transformations that apply.

y = -5(0.5)^-x

• Vertical stretch by 5

• Vertical shrink by 5

• Reflection across the x-axis

• Reflection across the y-axis

What kind of shift happens with this function?

• Vertical shift up 4

• Horizontal shift left 4

• Horizontal shift right 4

• Vertical shift down 4

Does this function stretch or shrink vertically?

• stretch

• shrink

What transformation best describes the function?

• Vertical stretch by 1

• Vertical shrink by -1

• Reflection across x-axis

• Reflection across y-axis

What transformation is not presented in the following equation?
y=2^-(x+3)-2

• horizontal shift to the right 3
• horizontal shift to the left 3
• vertical shift down 2
• horizontal reflection (reflection over y-axis)