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KonstantinChe [14]
3 years ago
11

How does the graph of g(x) = (x + 2)3 − 7 compare to the parent function of f(x) = x3? g(x) is shifted 2 units to the right and

7 units down. g(x) is shifted 7 units to the right and 2 units up. g(x) is shifted 2 units to the left and 7 units down. g(x) is shifted 7 units to the left and 2 units down
Mathematics
1 answer:
Nitella [24]3 years ago
6 0

Answer: g(x) is shifted 2 units to the left and 7 units down.

Step-by-step explanation:

  • The original function f(x) becomes f(x+c), if it is shifted c units to the left.
  • The original function f(x) becomes f(x-c), if it is shifted c units to the right.
  • Also, if it is shifted d units down, then the function becomes f(x)-d.
  • If it is shifted d units up, then the function becomes f(x)+d.

Here, if we compare the graph of g(x) = (x + 2)^3 -7 compare to the parent function of f(x) = x^3.

We can observe that f(x) is shifted  2 units to the left and 7 units down.

So, the correct statement is "g(x) is shifted 2 units to the left and 7 units down".

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If f(x)= 3x^2+1 and g(x)= 1-x, what is the value of (f-g)(2)?
enyata [817]

Answer:

14

Step-by-step explanation:

note that (f - g) = f(x) - g(x)

f(x) - g(x) = 3x² + 1 - (1 - x) = 3x² + 1 - 1 + x = 3x² + x

To evaluate (f - g)(2) substitute x = 2 into f(x) - g(x)

(f - g)(2) = 3(2)² + 2 = (3 × 4) + 2 = 12 + 2 = 14

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3 years ago
Please help meee!!! 5 stars to the best answer.
vovikov84 [41]

Answer:

3 cm

Step-by-step explanation:

First, find the volume of the cone.

V = \frac{1}{3}\pir²h

V = \frac{1}{3}(3.14)(9)(12)

V = 113.04

This means the sphere is also 113.04

Use the formula V = \frac{4}{3}\pir³

113.04 = \frac{4}{3}(3.14)r³

113.04 = 4.19r³

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3 years ago
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What is 1/6 in simplest form
Zarrin [17]
1/6 thats it u cant simplify
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Donald has x twenty dollar bills and one ten dollar bill how much money does Donald have
Paha777 [63]
In equation form that would be X20+10. He has X amount of 20 dollar bills, then a 10 dollar bill. We have to multiply X by 20 first, then add that to 10.

~Deceptiøn
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I think u guys know what to do !!!
kotykmax [81]

Answer:

B, C

Step-by-step explanation:

7 - x = 18

A.

7 - 2x = 18 - x

126 - 14x = 324 - 18x

We are nowhere near the solution.

B.

-x = 11

x = -11

This works.

C.

7 = x + 18

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This works.

D.

25 - x = 36

-25 + x = -36

This does not help.

E.

7 = x + 18

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We still do not have a solution.

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