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3 years ago

Let f(x)=3x and g(x)=3x−3+2 .

Mathematics

2 answers:

Leokris [45]3 years ago

8 0

Horizontal Translation of 3 units to the right

Vertical Translation of 2 units up

butalik [34]3 years ago

3 0

Answer:

Transformations: Shifted down by 3 units.

Then Shifted up by 2 units.

Step-by-step explanation:

Let the parent function be f(x) = 3x

Now shift the parent graph down by 3 units

Rule : f(x)→f(x)-b

The graph f(x) shifted down by b units

So, According to rule f(x)→f(x)-3

So, new function becomes: f'(x)=3x-3

Now we are supposed to shift the graph 2 units up

Rule : f(x)→f(x)+b

The graph f(x) shifted up by b units

So, According to rule f'(x)→f'(x)+2

So, the new function is g(x) = 3x-3+2

Thus the graph of f(x) shifted down by 3 units then shifted up by 2 units to obtain the graph g(x).

Transformations: Shifted down by 3 units.

Then Shifted up by 2 units.

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Answer:

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2 years ago

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3 years ago

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crimeas [40]

Answer:

y=.44-.66

Step-by-step explanation:

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3 years ago

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What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2

Eva8 [605]

Answer:

$y = \frac{1}{2}x - 8$

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

$y = mx + b$

Where ( $m$ ) is the slope of the line, also known as the change in the line and $(b)$ is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

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