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3 years ago

What is the equation of the vertical asymptote of the graph of f(x) = 2 log3(x + 1) – 3?

Mathematics

1 answer:

hammer [34]3 years ago

4 0

Set the argument (x+1) equal to zero.
$x + 1 = 0 \\ x = - 1$

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Step-by-step explanation:

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2 years ago

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3 years ago

What is the location of the point (5, 0) translates 4 units to the down and reflected across the y-axis?

CaHeK987 [17]

STEP-BY-STEP EXPLANATION:

Given information

The given ordered point = (5, 0)

Step 1: We need to translate the point 4 units down

To translate down means we will be subtracting a value from the y--axis

Hence, we have

$\begin{gathered} (x,\text{ y) }\rightarrow\text{ (x, y-b)} \\ \text{where b = 4} \\ (5,\text{ 0) }\rightarrow\text{ (5, 0 - 4)} \\ (5,\text{ 0) }\rightarrow\text{ (5, -4)} \end{gathered}$

When translated 4 units down, we got (5, -4)

Step 2: Reflect over the y-axis

The general rule for reflecting over the y-axis is (-x, y)

This means the value of x will be negated and the value of y will remain the same

$\begin{gathered} \text{Over the y-ax}is \\ (x,\text{ y) }\rightarrow\text{ (-x, y)} \\ (5,\text{ -4) }\rightarrow\text{ (-5, -4)} \end{gathered}$

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1 year ago

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laiz [17]

Answer:

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Step-by-step explanation:

Given

$\frac{x}{3}$ = - 3 ( multiply both sides by 3 to clear the fraction )

x = - 9

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3 years ago