What correctly describes the graph of $$g\left(x\right)=2^{3x}$$ ?

$$g\left(x\right)$$ will have the same graph as $$y=2^x$$ but is horizontally shrunk by a factor of $$\frac{1}{3}$$

$$g\left(x\right)$$ will have the same graph as $$y=2^x$$ but is horizontally stretched by a factor of $$3$$

$$g\left(x\right)$$ will have the same graph as $$y=2^x$$ but is vertically stretched by a factor of 3

$$g\left(x\right)$$ will have the same graph as $$y=2^x$$ but is vertically shrunk by a factor of $$\frac{1}{3}$$

Which of the following is equivalent to $$k\left(x\right)=4\left(3\right)^{x+3}$$ ?

$$k\left(x\right)=\frac{4}{9}\left(3\right)^x$$

$$k\left(x\right)=\frac{9}{4}\left(3\right)^x$$

$$k\left(x\right)=36\left(3\right)^x$$

$$k\left(x\right)=4\left(\frac{1}{3}\right)^{-x}$$

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Math

Functions Operations

Exponential Function Manipulation

2.4 Exponential Function Manipulation

Interactive Video

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Mathematics

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9th - 12th Grade

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Practice Problem

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Hard

Angel Aviles

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8 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

FILL IN THE BLANK QUESTION

1 min • 1 pt

Fill in the blank:
Every horizontal dilation of an exponential function is an exponential function is equivalent to a vertical (a) of the exponential function.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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2.4 Exponential Function Manipulation

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Fill in the blank:Every horizontal dilation of an exponential function is an exponential function is equivalent to a vertical (a) of the exponential function.

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Fill in the blank:
Every horizontal dilation of an exponential function is an exponential function is equivalent to a vertical (a) of the exponential function.