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Select the correct answer from each drop-down menu. Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below. A coordinate plane linear graph function shows a line intersecting Y-axis at minus 5 and X-axis at 1.5. The graph g(x) is the graph of f(x) translated units , and g(x) = .

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MrRoyal

The graph g(x) is the graph of f(x) translated 6 units right, and g(x) = 3x - 5

How to determine the translation?

The function f(x) is given as:

f(x) = 3x + 1

Next, we calculate the equation of g(x) using:

[tex]g(x) = \frac{y_2 -y_1}{x_2 -x_1} * (x - x_1) + y_1[/tex]

Where:

(x1,y1) = (0,-5) and (x2,y2) = (1.5,0)

So, we have:

[tex]g(x) = \frac{0+5}{1.5 -0} * (x - 0) -5[/tex]

Evaluate

g(x) = 3x  -5

So, we have:

f(x) = 3x + 1

g(x) = 3x  -5

Subtract f(x) from g(x) to calculate the units of translation (k)

k = 3x - 5 - 3x - 1

k = -6

This means

k = 6 units right

Hence, the graph g(x) is the graph of f(x) translated 6 units right, and g(x) = 3x - 5

Read more about translation at:

https://brainly.com/question/17067858

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