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kari74 [83]
3 years ago
8

The function g(x) = –x2 + 16x – 44 written in vertex form is g(x) = –(x – 8)2 + 20. Which is one of the transformations applied

to the graph of f(x) = x2 to change it into the graph of g(x) = –x2 + 16x – 44?
Mathematics
2 answers:
hichkok12 [17]3 years ago
4 0

Answer:

the graph of f(x) will be reflected over x axis, moved 8 units to the right and shifted 20 units up to get g(x)

Step-by-step explanation:

The function g(x) = -x^2 + 16x - 44 written in vertex form is g(x) = -(x - 8)^2 + 20

The parent function is f(x)=x^2

Now we compare parent function f(x) and g(x)

In g(x), negative sign at first

f(x) ----> -f(x) , the graph is reflected across x axis

f(x)-----> f(x-h), the graph will be transformed h units to right

f(x)----> f(x) +k , the graph will be transformed k units up

g(x) = -(x - 8)^2 + 20, the graph of f(x) will be reflected over x axis, moved 8 units to the right and shifted 20 units up to get g(x)

Marysya12 [62]3 years ago
3 0
It was moved up 20 units
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Andrew [12]
One side is 4.62 cm long
6 0
3 years ago
Solve for x <br>x- 2x (12 - 1/2) =2 (4-2x) +20<br>A.-14/9<br>B.-9/14<br>C.14/9<br>D.9/14​
MrMuchimi

Answer:

A

Step-by-step explanation:

-22x=-4x+28

-18x=28

x=-28/18=-14/9

7 0
2 years ago
you are rolling a 10-sided die with sides numbered 1-10. you keep rolling the die until you roll a prime number and then stop. l
evablogger [386]

The formula for E(x) would be SUM[ X(n)P(n)] from n = 1 to n = infinity until we get the prime number

In the given problem, a 10-sided die with 1-10 numbers is rolled until we get a prime number

Prime numbers between 1-10 = 2,3,5,7 (4 prime numbers)

Non - prime numbers = 1,4,6,8,9,10( 6 non-prime number)

Let X be the number of times the die is rolled

The probability of getting a prime =

P(Prime) = \frac{4}{10}

Now, the value of

E(X)=∑x.P(x) [ x-> {1, infinity}]

= P(1)X(1) +P(2)X(2)+P(3)X(3)+P(4)X(4)........+ P(n)X(n)

= 1.\frac{4}{10} + 2. \frac{6}{10}.\frac{4}{10} + 3.\frac{6}{10}.\frac{6}{10}\frac{4}{10} + 4. \frac{6}{10}.\frac{6}{10}.\frac{6}{10}.\frac{4}{10}.......

Hence, this is the value of E(x)

To learn more about Prime number, here

brainly.com/question/9315685

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4 0
2 years ago
Write an equation in standard form for:
Tasya [4]
Hello!
When finding the perimeter of a rectangle, you have to consider the properties of a rectangle. A rectangle has two pairs of equal sides where one is the width, while the other one is the length. 
Now looking back at your question, it says "... a rectangle that is x units wide" ⇒ you let the width = x ; this is the same with "y units long" ⇒ length = y. Perimeter can just be : P = 24.  
Therefore,
The equation would be:
x + x + y + y = P. 
2x + 2y = P.
(Sub in P = 24)
∴ 2x + 2y = 24. (This should be your answer.)
:) Good luck (Message me if you have any problem)








5 0
3 years ago
Interpret the following table about school dropout at the basic level (5 marks)
barxatty [35]

Answer:

Step-by-step explanation:

Given the following :

- - - Jhs

Basic level - - - - Boys - - - - Girls - - - - Total

Primary - - - - - - - 49 - - - - - - 51 - - - - - - 100%

Jhs - - - - - - - - - - 56 - - - - - - 44. - - - - - - 100%

With the information above,

Primary Dropout percentage:

BOYS : [49 / (49 +51)] × 100.= 49%

GIRLS : [51 / (49 +51)] × 100.= 51%

Jhs: Dropout percentage

BOYS : [56 / ( 56 + 44) × 100 = 56%

GIRLS : [44 / (44 +56)] × 100.= 44%

8 0
3 years ago
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