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aleksley [76]
3 years ago
12

Match each function formula with the corresponding transformation of the parent function y = 3 x

Mathematics
1 answer:
Greeley [361]3 years ago
7 0

Answer:

We are given the parent function, y=3^x.

So, we have,

1. Reflection over x-axis.                      2. Reflection over y-axis.  

This  changes f(x) to -f(x).                       This changes f(x) to f(-x)

New function is, y=-3^x                     New function is y=3^{-x}

3. Translated down by 2 units         4. Translated left by 1 unit

This changes f(x) to f(x)-2                   This changes f(x) to f(x+1)

New function is, y=3^x-2                      New function is, y=3^{x+1}

5. Translated right by 2 units           6. Translated up by 1 unit

This changes f(x) to f(x-2)                       This changes f(x) to f(x)+1

New function is y=3^{x-2}                         New function is, y=3^{x}+1

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Answer:

The independent variable is m, while the dependent variable is t.

Step-by-step explanation:

  • What is the independent variable?

An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.

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The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.

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t = $6 + ($1.50 x m)

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9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)

10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)

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