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harkovskaia [24]
3 years ago
11

Please Help! Which of the following equations, when graphed, results in the parabola depicted above? (I'll put a screenshot of t

he graph) A. f(x)=(x+2)2+4 B. f(x)=(x−2)2−4 C. f(x)=(x+2)2−4 D. f(x)=(x−2)2+4

Mathematics
2 answers:
horsena [70]3 years ago
6 0

Answer:

  B. f(x)=(x−2)^2−4

Step-by-step explanation:

The vertex form of the equation for a parabola with vertex (h, k) is ...

  f(x) = a(x -h)^2 +k

The value 'a' is a vertical scale factor, which is indicated as being 1 in all of the answer choices.

The graph shows you the vertex is (h, k) = (2, -4). Putting these values into the above form, you get ...

  f(x) = (x -2)^2 -4 . . . . . . matches choice B

kykrilka [37]3 years ago
5 0

Answer:

B.

Step-by-step explanation:

The zeroes are 0 and 4 and the vertex is at (2, -4).

f(x) = (x - 2)^2 - 4

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julsineya [31]

Answer:

2.25x

Step-by-step explanation:

2.00x

0.25x

<u>             </u>

2.25x

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5 0
3 years ago
D
astra-53 [7]

Answer:

b 2o i think sorry if its wrong

3 0
2 years ago
I need help with this question
choli [55]
<h3>Answer: Choice B</h3>

angle B = 118,  a = 17, c = 18

==========================================================

Explanation:

Use the given angles to find angle B.

A+B+C = 180

B = 180-(A+C)

B = 180-(30+32)

B = 118

Now use the law of sines to find side 'a'

Make sure your calculator is in degree mode.

a/sin(A) = b/sin(B)

a/sin(30) = 30/sin(118)

a = sin(30)*30/sin(118)

a = 16.9885507603356

a = 17

Follow similar steps to find side c

c/sin(C) = b/sin(B)

c/sin(32) = 30/sin(118)

c = sin(32)*30/sin(118)

c = 18.005120638611

c = 18

6 0
2 years ago
A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)
Maksim231197 [3]

Answer:

a

  The 95% confidence interval is  0.0503  <   p < 0.1297

b

The sample proportion is  \r p =  0.09

c

The critical value is  Z_{\frac{\alpha }{2} } =  1.96

d

 The standard error is  SE   =0.020

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  200

     The number of defective is  k =  18

The null hypothesis is  H_o  :  p  =  0.08

The  alternative hypothesis is  H_a  :  p > 0.08

Generally the sample proportion is mathematically evaluated as

            \r p =  \frac{18}{200}

            \r p =  0.09

Given that the confidence level is  95% then the level  of significance is mathematically evaluated as

        \alpha  =  100 -  95

        \alpha  =  5\%

        \alpha  =  0.05

Next we obtain the critical value of  \frac{ \alpha }{2} from the normal distribution table, the value is  

        Z_{\frac{\alpha }{2} } =  1.96

Generally the standard of error is mathematically represented as

          SE   =  \sqrt{\frac{\r p (1 -  \r p)}{n} }

substituting values

         SE   =  \sqrt{\frac{0.09  (1 -  0.09)}{200} }

        SE   =0.020

The  margin of error is  

       E =  Z_{\frac{ \alpha }{2} }  * SE

=>    E =  1.96  *  0.020

=>   E =  0.0397

The  95% confidence interval is mathematically represented as

     \r p  -  E  <  \mu <  p <  \r p  + E

=>   0.09 - 0.0397  <  \mu <  p < 0.09 + 0.0397

=>  0.0503  <   p < 0.1297

7 0
3 years ago
Downers grove has gotten 5 inches of snow and the snow depth is increasing by 6 inches every hour. Woodridge has gotten 13 inche
garri49 [273]

Answer:

2 hours

Step-by-step explanation:

Downers grove = 5 inches of snow + 6 inches every hour

= 5 + 6h

Woodridge = 13 inches + 2 inches every hour

= 13 + 2h

Where,

h = number of hours

In how many hours will the snowfall of the towns be equal?

Equate the snow falls of the towns

Downers grove = Woodridge

5 + 6h = 13 + 2h

Collect like terms

5 - 13 = 2h - 6h

8 = 4h

Divide both sides by 4

h = 8 / 4

= 2

h = 2 hours

The snowfall of the towns will be equal in 2 hours

8 0
3 years ago
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