What type of Translation/Shift do you see in the function? $$y=-3^{\left(x+5\right)}$$

Horizontal shift to the right 5

Given the parent exponential function y=4 x , how would the graph change if the function were: $$y=2\left(4\right)^{\left(x-3\right)}+1$$

Vertically stretched by a factor of 2, right 3, and up 1

Vertically compressed by a factor of 1/2, left 3 and down 1

Vertically compressed by a factor of 1/2, right 3, and down 1

Vertically stretched by a factor of 2, left 3, and up 1

Which of the following describes the transformation of $$f\left(x\right)=\frac{1}{2}\cdot2^{\left(x+2\right)}-3$$ from the parent graph $$g\left(x\right)=2^x$$

Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

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Exponential Basics And Characteristics Review

Exponential Basics and Characteristics Review

Authored by Mary Colclasure

Mathematics

8th Grade

CCSS covered

Used 6+ times

Exponential Basics and Characteristics Review

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32 questions

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GRAPHING QUESTION

3 mins • 1 pt

Graph the equation:
$y=-2\left(\frac{1}{2}\right)^{\left(x-2\right)}+1$

Tags

CCSS.HSF-IF.C.7E

GRAPHING QUESTION

3 mins • 1 pt

Graph the equation:
$y=3\left(2\right)^{\left(x+1\right)}-1$

Tags

CCSS.HSF-IF.C.7E

MATH RESPONSE QUESTION

2 mins • 1 pt

What is the equation of the asymptote?

$y=0$

Mathematical Equivalence

Tags

CCSS.HSF-IF.C.7E

MATH RESPONSE QUESTION

2 mins • 1 pt

What is the equation of the asymptote?

$y=2$

Mathematical Equivalence

Tags

CCSS.HSF-IF.C.7D

MATH RESPONSE QUESTION

2 mins • 1 pt

What is the equation of the asymptote?

$y=-2$

Mathematical Equivalence

Tags

CCSS.HSF-IF.C.7D

MATH RESPONSE QUESTION

2 mins • 1 pt

What is the equation of the asymptote?
$y=3\left(2\right)^x+5$

$y=5$

Mathematical Equivalence

Tags

CCSS.HSF-IF.C.7E

MATH RESPONSE QUESTION

2 mins • 1 pt

What is the equation of the asymptote?
$y=-4\left(\frac{1}{2}\right)^{\left(x+2\right)}+1$

$y=1$

Mathematical Equivalence

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the exponential function?

$y<0$

$y>0$

$y>2$

$y<2$

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the range of the exponential function?

$y<6$

$y>6$

$y>2$

$y<2$

Tags

CCSS.HSF-IF.C.7E

10.

MATH RESPONSE QUESTION

2 mins • 1 pt

What is the range?
$y=-4\left(\frac{1}{2}\right)^{\left(x+2\right)}+1$

$y<1$

Mathematical Equivalence

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Exponential Basics and Characteristics Review

Graph the equation: y=−2(12)(x−2)+1y=-2\left(\frac{1}{2}\right)^{\left(x-2\right)}+1y=−2(21​)(x−2)+1

Graph the equation: y=3(2)(x+1)−1y=3\left(2\right)^{\left(x+1\right)}-1y=3(2)(x+1)−1

What is the equation of the asymptote?

What is the equation of the asymptote?

What is the equation of the asymptote?

What is the equation of the asymptote? y=3(2)x+5y=3\left(2\right)^x+5y=3(2)x+5

What is the equation of the asymptote? y=−4(12)(x+2)+1y=-4\left(\frac{1}{2}\right)^{\left(x+2\right)}+1y=−4(21​)(x+2)+1

What is the range of the exponential function?

What is the range of the exponential function?

What is the range? y=−4(12)(x+2)+1y=-4\left(\frac{1}{2}\right)^{\left(x+2\right)}+1y=−4(21​)(x+2)+1

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Graph the equation:
$y=-2\left(\frac{1}{2}\right)^{\left(x-2\right)}+1$

Graph the equation:
$y=3\left(2\right)^{\left(x+1\right)}-1$

What is the equation of the asymptote?
$y=3\left(2\right)^x+5$

What is the equation of the asymptote?
$y=-4\left(\frac{1}{2}\right)^{\left(x+2\right)}+1$

What is the range?
$y=-4\left(\frac{1}{2}\right)^{\left(x+2\right)}+1$