How did the graph transform from the parent function? y=-5(2) (x)

Flipped/Reflected over the x-axis

Given the original exponential function defined by y=4 x , how would the graph change if the function were: y=2(4) x-3 +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

Which of the following function best represents this graph?

k ( x ) = − 2 x + 2 k\left(x\right)=-2^x+2 k ( x ) = − 2 x + 2

g ( x ) = 2 x + 2 g\left(x\right)=2^x+2 g ( x ) = 2 x + 2

m ( x ) = − 2 x − 2 m\left(x\right)=-2^x-2 m ( x ) = − 2 x − 2

f ( x ) = 0. 5 x + 2 f\left(x\right)=0.5^x+2 f ( x ) = 0 . 5 x + 2

Which of the following function best represents this graph?

g ( x ) = 3 ⋅ 2 x + 1 g\left(x\right)=3\cdot2^x+1 g ( x ) = 3 ⋅ 2 x + 1

k ( x ) = 3 ⋅ 2 ( x − 1 ) k\left(x\right)=3\cdot2^{\left(x-1\right)} k ( x ) = 3 ⋅ 2 ( x − 1 )

m ( x ) = 3 ( 1 2 ) ( x − 1 ) m\left(x\right)=3\left(\frac{1}{2}\right)^{\left(x-1\right)} m ( x ) = 3 ( 2 1 ) ( x − 1 )

f ( x ) = 3 ( 1 2 ) x + 1 f\left(x\right)=3\left(\frac{1}{2}\right)^x+1 f ( x ) = 3 ( 2 1 ) x + 1

Transformation of Exp Functions

Authored by Erin Alef

Mathematics

8th Grade

CCSS covered

Used 4+ times

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What transformations occur in the following function?

right 3, up 2

left 3, up 2

left 3, down 2

right 3, down 2

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the transformation?

Vertical Translation up 2 and Horizontal translation right 1

Vertical Translation down 2 and Horizontal Translation left 1

Horizontal Translation left 2 and Vertical Translation up 1

Horizontal Translation right 2 and Vertical Translation down 1

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

4 units up

4 units to the left

4 units to the right

4 units down

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Given g(x)=5^x
Write a function that is reflected over the line x-axis and translated 4 units to the right.

f(x)= -5^x-4

f(x)= -5^x+4

f(x)= 5⁽^x-4)

f(x)= 5^-(x-4)

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the asymptote of this function:
f(x) = 2^x-1+ 3

x = 1

x = -1

y = 3

y = - 3

Tags

CCSS.HSF-IF.C.7E

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What transformations occur in the following function?

right 3, up 2

left 3, up 2

left 3, down 2

right 3, down 2

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the transformation?

Horizontal Translation left 2

Vertical Translation down 2

None

Reflection across the HA

Tags

CCSS.HSF.BF.B.3

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Transformation of Exp Functions

What transformations occur in the following function?

What is the transformation?

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

Given g(x)=5^x
Write a function that is reflected over the line x-axis and translated 4 units to the right.

What is the asymptote of this function:
f(x) = 2^x-1+ 3

What transformations occur in the following function?

What is the transformation?

What type of function is f(x)=2(1/7)^x ?

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Given g(x)=(1/2)^x
Write a function that is translated 5 units left and translated 4 units up.

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Transformation of Exp Functions

What transformations occur in the following function?

What is the transformation?

Compare f(x) = 3x- 4 with the basic function g(x) = 3x

Given g(x)=5xWrite a function that is reflected over the line x-axis and translated 4 units to the right.

What is the asymptote of this function: f(x) = 2x-1 + 3

What transformations occur in the following function?

What is the transformation?

What type of function is f(x)=2(1/7)x ?

What is a, the starting term, for the function: f(x) = 300(1.16)x?

Given g(x)=(1/2)xWrite a function that is translated 5 units left and translated 4 units up.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

Given g(x)=5^x
Write a function that is reflected over the line x-axis and translated 4 units to the right.

What is the asymptote of this function:
f(x) = 2^x-1+ 3

What type of function is f(x)=2(1/7)^x ?

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Given g(x)=(1/2)^x
Write a function that is translated 5 units left and translated 4 units up.