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Strike441 [17]
3 years ago
15

What is the equation of the translated function?

Mathematics
2 answers:
Musya8 [376]3 years ago
3 0
For this case the main function is:
 f (x) = x ^ 2
 We are going to apply the following transformations:

 Vertical translations
 Suppose that k> 0:
 To graph y = f (x) + k, move the graph of k units up.
 We have then:
 f (x) = x ^ 2 + 5

 Horizontal translations
 Suppose that h> 0
 To graph y = f (x + h), move the graph of h units to the left.
 We have then:
 f (x) = (x + 1) ^ 2 + 5

 Answer:
 
f (x) = (x + 1) ^ 2 + 5
kari74 [83]3 years ago
3 0

Answer:

The second answers

Step-by-step explanation:

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse
Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}

Removing the proportionality sign and introducing a constant k, we have

\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}

So, if it's an inverse variation, the relationship would be

y=\frac{-14}{x}

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

y=\frac{-14}{x}

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Step-by-step explanation:

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