What transformation(s) maps the parent function c ( x ) = ( 2 3 ) x c\left(x\right)=\left(\frac{2}{3}\right)^x c ( x ) = ( 3 2 ) x to e ( x ) = ( 2 3 ) x + 5 e\left(x\right)=\left(\frac{2}{3}\right)^x+5 e ( x ) = ( 3 2 ) x + 5 ?

Translate up 2 3 \frac{2}{3} 3 2 units

What are the transformations that map the parent function , p ( x ) = 2 x p\left(x\right)=2^x p ( x ) = 2 x , to the blue function. What is the equation of the blue function?

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

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

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

The parent function p ( x ) = ( 1 2 ) x p\left(x\right)=\left(\frac{1}{2}\right)^x p ( x ) = ( 2 1 ) x is shown in red and is translated. What is the equation of the blue graph?

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

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

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

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

What transformations maps the parent function $$f\left(x\right)=4^x$$ to $$g\left(x\right)=-4^x+6$$ ?

Reflect across y=0 (x-axis) then translate 6 units up

Reflect across y=0 (x-axis) then translate 6 units left

Reflect across y=0 (x-axis) then translate 6 units right

Reflect across y=0 (x-axis) then translate 4 units right and 6 units up

Translate 4 units left and 6 units up

Transformations of Exponential Functions "h" and "k"

Authored by Karen Escobedo

Mathematics

9th - 12th Grade

CCSS covered

Used 49+ times

Transformations of Exponential Functions "h" and "k"

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MULTIPLE SELECT QUESTION

1 min • 1 pt

What transformation(s) maps the parent function
$a\left(x\right)=5^x$ to $b\left(x\right)=5^{x+2}-4$ ?

Translate left 2 units

Translates right 2 units

Translate up 2 units

Translate down 4 units

Translate left 4 units

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

1 min • 1 pt

What transformation(s) maps the parent function $f\left(t\right)=4^t$ to $g\left(t\right)=4^{t-7}+1$

Translate left 7 units

Translates right 7 units

Translate down 7 units

Translate right 1 unit

Translate up 1 unit

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

45 sec • 1 pt

What transformation(s) maps the parent function $c\left(x\right)=\left(\frac{2}{3}\right)^x$ to $e\left(x\right)=\left(\frac{2}{3}\right)^x+5$ ?

Translate left 5 units

Translates right 5 units

Translate down 5 units

Translate up 5 units

Translate up $\frac{2}{3}$ units

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

1 min • 1 pt

What transformation(s) maps the parent function $f\left(x\right)=2^x$ to $g\left(x\right)=2^{x-9}-3$ ?

Translate left 9 units

Translates right 9 units

Translate up 3 units

Translate down 3 units

Translate up 2 units

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

45 sec • 1 pt

What transformation(s) maps the parent function $r\left(x\right)=8^x$ to $r\left(x\right)=8^{x-4}$ ?

Translate left 4 units

Translates right 4 units

Translate down 8 units

Translate up 8 units

Translate right 8 units

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

45 sec • 1 pt

What transformation(s) maps the parent function $f\left(x\right)=7^x$ to $g\left(x\right)=2+7^{x+3}$ ?

Translate left 3 units

Translates right 3 units

Translate up 3 units

Translate right 2 units

Translate up 2 units

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

1 min • 1 pt

What are the transformations that map the parent function , $p\left(x\right)=2^x$ , to the blue function. What is the equation of the blue function?

Translate right 1 unit and down 3 units

Translate left 1 unit and up 3 units

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

$f\left(x\right)=2^{x-1}-3$

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

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

1 min • 1 pt

The parent function $p\left(x\right)=\left(\frac{1}{2}\right)^x$ is shown in red and is translated. What is the equation of the blue graph?

$f\left(x\right)=\left(\frac{1}{2}\right)^{x-1}-2$

$f\left(x\right)=\left(\frac{1}{2}\right)^{x-2}-1$

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

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

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Transformations of Exponential Functions "h" and "k"

What transformation(s) maps the parent function a(x)=5xa\left(x\right)=5^xa(x)=5x to b(x)=5x+2−4b\left(x\right)=5^{x+2}-4b(x)=5x+2−4 ?

What transformation(s) maps the parent function f(t)=4tf\left(t\right)=4^tf(t)=4t to g(t)=4t−7+1g\left(t\right)=4^{t-7}+1g(t)=4t−7+1

What transformation(s) maps the parent function c(x)=(23)xc\left(x\right)=\left(\frac{2}{3}\right)^xc(x)=(32​)x to e(x)=(23)x+5e\left(x\right)=\left(\frac{2}{3}\right)^x+5e(x)=(32​)x+5 ?

What transformation(s) maps the parent function f(x)=2xf\left(x\right)=2^xf(x)=2x to g(x)=2x−9−3g\left(x\right)=2^{x-9}-3g(x)=2x−9−3 ?

What transformation(s) maps the parent function r(x)=8xr\left(x\right)=8^xr(x)=8x to r(x)=8x−4r\left(x\right)=8^{x-4}r(x)=8x−4 ?

What transformation(s) maps the parent function f(x)=7xf\left(x\right)=7^xf(x)=7x to g(x)=2+7x+3g\left(x\right)=2+7^{x+3}g(x)=2+7x+3 ?

What are the transformations that map the parent function , p(x)=2xp\left(x\right)=2^xp(x)=2x , to the blue function. What is the equation of the blue function?

The parent function p(x)=(12)xp\left(x\right)=\left(\frac{1}{2}\right)^xp(x)=(21​)x is shown in red and is translated. What is the equation of the blue graph?

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What transformation(s) maps the parent function
$a\left(x\right)=5^x$ to $b\left(x\right)=5^{x+2}-4$ ?

What transformation(s) maps the parent function $f\left(t\right)=4^t$ to $g\left(t\right)=4^{t-7}+1$

What transformation(s) maps the parent function $c\left(x\right)=\left(\frac{2}{3}\right)^x$ to $e\left(x\right)=\left(\frac{2}{3}\right)^x+5$ ?

What transformation(s) maps the parent function $f\left(x\right)=2^x$ to $g\left(x\right)=2^{x-9}-3$ ?

What transformation(s) maps the parent function $r\left(x\right)=8^x$ to $r\left(x\right)=8^{x-4}$ ?

What transformation(s) maps the parent function $f\left(x\right)=7^x$ to $g\left(x\right)=2+7^{x+3}$ ?

What are the transformations that map the parent function , $p\left(x\right)=2^x$ , to the blue function. What is the equation of the blue function?

The parent function $p\left(x\right)=\left(\frac{1}{2}\right)^x$ is shown in red and is translated. What is the equation of the blue graph?