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liberstina [14]
3 years ago
6

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

Mathematics
1 answer:
dedylja [7]3 years ago
3 0

g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).

Which means that our equation for f(x) is:

\large{f(x) = x}

Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.

\large{f(x + k) = x + k }\\  \large{g(x) = x + k}

Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.

\large{g(x) = x + 4}

Answer

  • g(x) = x+4
  • Therefore the value of k is 4.
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Answer:

Step-by-step explanation:

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AB=\sqrt{(-11-(-7))^{2}+(4-8)^{2}}=\sqrt{16+16}=4\sqrt{2}\\AC=\sqrt{(-11-(-4))^{2}+(4-4)^{2}}=7\\BC=\sqrt{(-7-(-5))^{2}+(8-4)^{2}}=\sqrt{4+16}=2\sqrt{5}\\\\

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3 0
2 years ago
What is the slope of the line that contains the points (-1,9) (5,21)
fiasKO [112]
M=2 is what i got. Hope this helped 



4 0
3 years ago
Read 2 more answers
Question in picture. Thanks!
KonstantinChe [14]
2x^2+4x+2
Carry the 2 over to the 3 behind the 4 and multiply so 2times2 is 4. So i new equation is.
X^2+4x+4
Now you have to find the factors of 4 which is 1,4 and 2,2
So now you have to see which one adds up to 4 so 1+4 is 5 so cross that out and 2+2=4.
So the two number is 2 and 2 now you have to bring down the x^2 and the signs.
(X+2) (X+2) and thats your answer
8 0
3 years ago
A school purchsed basketball for $20 each and footballs for $15 each. they a brought a total of 28 for $480 how many of each typ
satela [25.4K]

Answer:

i in total spent : 480

Step-by-step explanation:

he bought 12 basketballs = 240

he bought 16 football = 240

you can decide how to make your system

4 0
3 years ago
What value of n makes this expression equals to 6 <br> 3n-(2+n)
coldgirl [10]
N = 4
(3)(4)-(2+4) = 12 - 6 = 6
6 0
2 years ago
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