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alina1380 [7]
3 years ago
5

Which is one of the transformations applied to the graph of

title="f(x)=x^2" alt="f(x)=x^2" align="absmiddle" class="latex-formula"> to produce the graph of p(x)=-50+14x-x^2?
A. a shift down 1 unit

B. a shift left 7 units

C. a shift right 1 unit

D. a shift up 7 units


Could you explain your answer?


If it's wrong it should be report called "improper answer."

No need to spamming answers! If you spamming and that's going to mark your answer report.


Thank you!


-Charlie
Mathematics
1 answer:
Schach [20]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Write each parabola in standard form.

f(x) = x²

f(x) = (x − 0)² + 0

For p(x), complete the square.

p(x) = -50 + 14x − x²

p(x) = -(x² − 14x + 50)

p(x) = -(x² − 14x + 49 + 1)

p(x) = -(x² − 14x + 49) − 1

p(x) = -(x − 7)² − 1

The transformation from f(x) to p(x) includes a reflection about the x-axis, a shift right 7 units, and a shift down 1 unit.

The answer is A.

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Step-by-step explanation:

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For which distributions is the median the best measure of center?
sleet_krkn [62]

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D

Step-by-step explanation:

It is the organized one with the center bar also being the largest value.

7 0
3 years ago
The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a popula
oee [108]

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu = 30\ seconds

    The standard deviation is  \sigma = 3 \ seconds

     The sample size is  n  = 9

    The null hypothesis is H_o: \mu  = 30

     The alternative hypothesis is  H_a  :  \mu \ne 30

    The level of significance is  \alpha = 0.01

    The sample mean is  \= x = 31.2

Generally the test statistics is mathematically represented as

      z = \frac{ \= x - \mu }{ \frac{\sigma}{\sqrt{n} } }

=>   z = \frac{ 31.2 - 30}{ \frac{3}{\sqrt{9} } }

=>   z = 1.2

From the z table  the area under the normal curve to the right corresponding to  1.2  is    

         P(Z >  1.2) =  0.11507

Generally the p-value is mathematically represented as

         p-value = 2 * P(Z >  1.2)

=>       p-value = 2 *0.11507

=>       p-value = 0.230

From the value obtained w can see that

         p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

6 0
3 years ago
La suma de las edades de A y B es 23 años y el producto es 102 años. Hallar ambas edades
KonstantinChe [14]

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Las edades serían 17 y 6 años
3 0
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A girl is twice as old as her sister. Five years hence, the product of their ages (in years) will be 375. Find their present age
Orlov [11]

Answer: girls=20, sister=10

Step-by-step explanation:

Let x = the girl's sister's age (present)

Let 2x= the girl's age (present)

-------------------------------------------------------------

According to the question

(x+5)(2x+5)=375

Expand parentheses by FOIL (First Outer Inner Last)

2x²+5x+10x+25=375

Combine like term (5x and 10x)

2x²+15x+25=375

Subtract 375 on both sides

2x²+15x+25-375=375-375

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Find the factors (cross factor)

(x-10)(x+17.5)=0

x=10 or x=-17.5 (rej) ⇔ the age can't be negative

the girl's age is 20, and her sister's age is 10.

7 0
3 years ago
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