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lorasvet [3.4K]
3 years ago
11

Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?

Mathematics
2 answers:
FrozenT [24]3 years ago
7 0
The correct answer is: <span>The graph shifts 5 units right

Explanation:
Below is the graph attached of both the equations:

Red line: 
Represents f(x) = </span><span>2x + 2.
Blue line: Represents g(x) = 2x - 3.

As you can see in the graph that g(x) is shifted 5 units right to f(x).

If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
</span>2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)

Total 5 units.

Hence the correct answer is t<span>he graph shifts 5 units right.</span>

vaieri [72.5K]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Shifts five units to the right

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sladkih [1.3K]

Answer:

(2,0) - x -intercept

(0, 1.5) - y-intercept

Step-by-step explanation:

The slope of the points can be found by writing a ratio of vertical change to horizontal change. It can be found in the table by subtracting y values from each other and subtracting x values from each other. The y values decrease by 3 each time or -6 - -3 = -6 + 3 = -3.

The x values increase by 4.

So the rate of change is -3/4.

This means if you go backwards on the table the previous point would be (2, 0). This is the x-intercept.

To find the y-intercept, you must go further back. Going back 2 more units would make the table appear as:

x                      y

-2                    3

0                      ???

2                      0

6                     -3

10                    -6

14                    -9

Since the y values decrease by 3 each time and we went back half the usual amount, then the value would be 1.5.

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Use the distributive property to complete the following statement 4(x-1)=4x-___
Flura [38]

Answer:

A. 4

Step-by-step explanation:

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3 years ago
How do you inverse 3x-4y=6
vladimir1956 [14]

Answer:

To find the inverse you switch x and y

Step-by-step explanation:

3y-4x=6

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Ksivusya [100]

Answer:

y = ac / (a - b - c)

Step-by-step explanation:

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Distribute

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Subtract cy from both sides

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Factor out y

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Divide both sides by (a - b - c)

y = ac / (a - b - c)

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2 years ago
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