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riadik2000 [5.3K]
2 years ago
5

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.

Mathematics
2 answers:
34kurt2 years ago
5 0

Answer:

The correct option is C.

Step-by-step explanation:

The translation is defined as

g(x)=f(x)+k

Where, a is horizontal shift and b is vertical shift.

If k>0, then the graph shifts b units up and if k<0, then the graph shifts b units down.

In the given graph red line represents the the function g(x) and blue line represents the function f(x).

y-intercept of g(x) = 1

y-intercept of f(x) = -3

k=1-(-3)=1+3=4

It means the graph of f(x) shifts 4 unit up to get the graph of g(x). So, the value of k is 4.

Therefore the correct option is C.

Jlenok [28]2 years ago
3 0

Answer:

C.) 4

Step-by-step explanation:

You can solve this a couple ways but I solved it by looking at the graph. g(x) is 4 units above f(x). Adding four to f(x) would shift it up 4 units. Hope that helped.

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Rectangle ABCD is transformed to A’B’C’D’ by a dilation. What is the scale factor used for the dilation?
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Answer:

Scale factor = 3

Step-by-step explanation:

Scale factor used for the dilation = the ratio of the corresponding side length of the new figure to the side length of the original figure

Scale factor = B'C'/BC

B'C' = 9 units

BC = 3 units

Scale factor = 9/3 = 3

6 0
3 years ago
You enter a relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. La
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Distance to checkpoint A from starting line = 20 yards.

Then from A to B distance = 12 yards.

Let us take starting point C.

So, it would make a right triangle.

We have AB = 12, AC = 20, we need to find BC, that is Hypotenuse of the right triangle.

According to Pythagoras theorem:

BC^2 = AB^2+AC^2

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BC^2 = 144 +400 = 544

BC= \sqrt{544}

BC = 23.32.

<h3>Therefore,  23.32 yards is the distance from Checkpoint B to the starting line.</h3>
7 0
2 years ago
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Write this expression using numbers and symbols two less then six times a number
erma4kov [3.2K]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
Type the price per unit in blanks a and b, and choose the best buy. Tomato juice, 48 oz. can for $2.49 would = cents per oz. Tom
Sphinxa [80]
For this case we have two options:
 Option A:
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 Option B:
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The best buy would be:
 
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2 years ago
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Please help! Brainliest to the first answer!
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