Exponential and Logarithmic Transformations

Exponential and Logarithmic Transformations

11th Grade

14 Qs

quiz-placeholder

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Exponential and Logarithmic Transformations

Exponential and Logarithmic Transformations

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSF-IF.C.7E, HSF.BF.B.3

Standards-aligned

Created by

Anthony Clark

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14 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

1 min • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the equation of the asymptote?

x = -3

x=5

y= -3

y=5

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

f(x)=log5(x+4) - 2

Describe the transformation

translation 4 units to the right, 2 units down

translation 4 units to the left, 2 units down

translation 4 units to the up, 2 units right

translation 4 units to the up, 2 units left

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Using y=3x as the parent function, what will y=3-x look like?

Reflection on the x axis

Reflection on the line y=x

Reflection on the y axis

Reflection on y=0

Tags

CCSS.HSF.BF.B.3

5.

MATH RESPONSE QUESTION

1 min • 2 pts

Write the equation of a natural logarithmic function that has been shifted two units to the left, one unit up, and vertically stretched by a factor of three. (Begin your answer with "y=." Use parentheses where necessary.)

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7E

6.

DROPDOWN QUESTION

1 min • 1 pt

Use y=log(x) as a parent function. To graph y=log(x-4)+7, the parent function should be translated vertically ​ (a)   (up or down) by ​ ​ (b)   units. The vertical asymptote should be shifted horizontally to the ​ (c)   (left or right) by ​ (d)   units.

up

right

4

down

left

7

Tags

CCSS.HSF-IF.C.7E

7.

MATH RESPONSE QUESTION

1 min • 2 pts

Write the equation of a natural logarithmic function that has been shifted two units to the left, one unit up, and vertically stretched by a factor of three. (Begin your answer with "y=." Use parentheses where necessary.)

Mathematical Equivalence

ON

Tags

CCSS.HSF-IF.C.7E

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