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Vedmedyk [2.9K]
2 years ago
11

If f(x) = x2, which of the following describes the graph of f(x) - 5? A)The graph of f(x) - 5 is a vertical shift of f(x) = x2 f

ive units up. B)The graph of f(x) - 5 is a vertical shift of f(x) = x2 five units down. C)The graph of f(x) - 5 is a horizontal shift of f(x) = x2 five units to the right. D)The graph of f(x) - 5 is a horizontal shift of f(x) = x2 five units to the left.
Mathematics
2 answers:
lana [24]2 years ago
6 0
F(x) = x^2 is a parabola with vertex at the origin (0,0).
f(x) = x^2 - 5 is a parabola shifted down 5 units so it's vertex would be at (0, -5)
The correct answer is Letter B
nevsk [136]2 years ago
5 0

Answer:

Option B The graph of f(x)-5 is a vertical shift of f(x)=x^{2} five units down.

Step-by-step explanation:

we have

f(x)=x^{2}

Is a vertical parabola open upward with the vertex at (0,0)

Let

g(x)=f(x)-5

so

g(x)=x^{2}-5

Is a vertical parabola open upward with the vertex at (0,-5)

The rule of the translation of f(x)-----> g(x) is equal to

(x,y)------> (x.y-5)

That means-----> The translation is 5 units down

therefore

The graph of f(x)-5 is a vertical shift of f(x)=x^{2} five units down.

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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445445 gram setting. Is
marusya05 [52]

Answer:

Yes there is sufficient evidence.

Null hypothesis; H_o ; μ = 445

Alternative hypothesis; H_o ; μ ≠ 445

Step-by-step explanation:

The null hypothesis states that there is no difference in the test which is denoted by H_o. However, the sign of null hypothesis is denoted by the signs of = or ≥ or ≤.

Meanwhile, the alternative hypothesis is one that defers from the null hypothesis. This therefore implies a significant difference in the test. Thus, the signs of alternative hypothesis is denoted by; < or > or ≠.

Now, the question we have is a two tailed test. Thus;

The null hypothesis is;

bag filling machine works correctly at the 445 gram setting which is;

H_o ; μ = 445

The alternative hypothesis is;

bag filling machine works incorrectly at the 445 gram setting which is;

H_o ; μ ≠ 445

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3 years ago
How can recycling materials lead to environmental sustainability?
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Answer:

Recycling materials helps decrease the amount of new materials taken from the environment.

Step-by-step explanation:

Recycling materials helps decrease the amount of new materials taken from the environment.

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3 0
2 years ago
An uber in Los Angeles charges $3.50 per mile and $2 for every person. If taxi cab ride for three people costs $20, how far did
Vsevolod [243]

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Step-by-step explanation:

5 0
3 years ago
The graphs of three functions are shown.
satela [25.4K]

Answer:

  • The square root and quadratic function share a y-intercept.
  • The range of the square root and absolute value function are the same.

Step-by-step explanation:

Y-intercepts are the same when the curves meet the y-axis at the same point. That is true of the root and quadratic functions.

X-intercepts are the same when the curves meet the x-axis at the same point. None of these functions share an x-intercept.

The ranges of the functions are the same when they have the same vertical extent. The range of the quadratic is different from the range of the other two functions.

The absolute value and root functions have the same minimum (lower end of their range). That is the same as the maximum of the quadratic function.

__

The statements that match the graphs are ...

  • The square root and quadratic function share a y-intercept.
  • The range of the square root and absolute value function are the same.
7 0
3 years ago
Read 2 more answers
(5x²+2) - (-4x²+7)+(-3x²-5)
svp [43]

Answer:

6x^2   -10

Step-by-step explanation:

(5x²+2) - (-4x²+7)+(-3x²-5)

Distribute the minus sign

(5x²+2) +4x²-7 +(-3x²-5)

Combine like terms

5x²+4x²-3x²  +2-7-5

6x^2              -10

6 0
3 years ago
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