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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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USPshnik [31]
The answer is 20 cups of strawberries. 2.5 x 8=20
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3 years ago
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Does anyone know the answer to this problem?
Mariana [72]

The regression equation is y = 16.585x - 639.769 and the linear correlation coefficient indicates a strong linear relationship

<h3>How to determine the regression equation?</h3>

To do this, we make use of a statistical calculator;

Using the statistical calculator, we have the following summary:

  • Sum of X = 554
  • Sum of Y = 4070
  • Mean X = 69.25
  • Mean Y = 508.75
  • Sum of squares (SSX) = 725.5
  • Sum of products (SP) = 12032.5
  • Correlation coefficient, r = 0.9768

The regression equation is

ŷ = bx + a

Where:

b = SP/SSX = 12032.5/725.5 = 16.58511

a = MY - bMX = 508.75 - (16.59*69.25) = -639.76912

Hence, the regression equation is y = 16.585x - 639.769

<h3>The number of cans sold at 90 degrees F</h3>

This means that"

x = 90

So, we have:

y = 16.585 * 90 - 639.769

Evaluate

y = 852.881

Approximate

y = 853

Hence, 853 cans were sold at 90 degrees F

<h3>The linear correlation coefficient</h3>

In (a), we have:

r = 0.9768

This means that the linear correlation coefficient is 0.9768

<h3>The conclusion</h3>

We have:

r = 0.9768

The above value is closer to 1 because

|r| > 0.9

i.e.

0.9768 > 0.9

Hence, the linear correlation coefficient indicates a strong linear relationship

Read more about regression at:

brainly.com/question/17844286

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6 0
1 year ago
<img src="https://tex.z-dn.net/?f=4%5E%7B2%7D" id="TexFormula1" title="4^{2}" alt="4^{2}" align="absmiddle" class="latex-formula
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Step-by-step explanation:

step 1. what is 4^2?

step 2. 16.

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Simplify the following polynomial and write the answer in standard form. (9-2x^3+5^2-4x+5) - (-2x^3+2x-3)
pogonyaev
If I am reading the question correctly it would come out to -6x+42  First do all the addition and squaring, then factor in that negative.  You come out to -2x^3 +2x^3-4x-2x+25+5+9+3.  The x^3's cancel, the -x's add to -6x, then all that other adds to 42.
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(06.02 MC)
ololo11 [35]

Answer:

5n+8

4 times the quantity of a number and six

Step-by-step explanation:

8 more than 5 times a number

more than comes after

5 time a number

5n

8 more than

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4(n + 6)

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4 0
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