Using shifting concepts, it is found that function g is given by:
[tex]g(x) = \frac{x^2 - 4x - 12}{4}[/tex]
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Horizontally stretching a function f(x) a units is the same as finding [tex]f(\frac{x}{a})[/tex]Shifting a function f(x) a units to the left is the same as finding f(x - a).Shifting a function f(x) down a units is the same as finding f(x) - a.--------------
The parent function is:
[tex]f(x) = x^2[/tex]
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Horizontally stretching by a factor of 2.
[tex]f(\frac{x}{2}) = (\frac{x}{2})^2 = \frac{x^2}{4}[/tex]
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Shifting left 2 units:
[tex]f(\frac{(x-2)}{2}) = \frac{(x - 2)^2}{4} = \frac{x^2 - 4x + 4}{4}[/tex]
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Shifting down 4 units:
[tex]g(x) = f(\frac{(x-2)}{2}) - 4 = \frac{x^2 - 4x + 4}{4} - 4 = \frac{x^2 - 4x + 4}{4} - \frac{16}{4} = \frac{x^2 - 4x - 12}{4}[/tex]
A similar problem is given at https://brainly.com/question/24465194
please help ??? Thanks
Answer:
Each y- value is determined by adding 4
Step-by-step explanation:
It costs $3.45 to buy3/4 lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? Explain or show your reasoning. l
Answer:
$34.5
Step-by-step explanation:
because 3/4 of a pound is basically .75 of a pound. so the conversion from .75 of a pound to 7.5 pounds is just multiplying by 10. therefor you just multiply the initial price by 10
Answer:
$34.50
Step-by-step explanation:
please give me brainliest
What expression equals to 3^15
Answer:
14348907
Step-by-step explanation:
That's the right answer
2+2 this is for that one guy that answered my question he needs some more points and answers so imma help him out
I think it’s a boy honestly Idk
Answer:
I need more too lol the answer is 4
In each case below, we describe a study to determine whether exercise helps increase certain mood enhancing chemicals in the brain. Indicate whether each describes an experiment or an observational study.
a). Using a random sample of 100 people, we randomly assign half of them to participate in a regular exercise program for a six-week period while the other half makes no changes. At the end of the time period, we measure the brain chemicals.
b). We contact a random sample of 100 people and record how much each person exercises and also measure the chemicals in the brain for each person.
Answer:
A)Experimental Study
B)Observational Study
Step-by-step explanation:
Observational Study : A study where researchers simply collect data based on what is seen and heard and infer based on the data collected.
Experimental Study: A study which involve the random assignment of -participants into different groups in order to determine the causal effect of a certain condition on a certain outcome .
A) In this case we are randomly classifying the subjects into two groups, where one group participate in a regular exercise program for a six week period, while the other half makes no changes. In this Part we are not observing the data . we are doing experiment over here and comparing those two different groups.
So, By definition It is an experimental study
B) In this case we are recording the data of each person and decision will be based on data
So, By definition It is an observational study
Ernie worked at his job on Saturday and Sunday last weekend, earning $14 per hour. His
sister, Perla, also worked on the weekend and earned a total of $126.
If Ernie and Perla earned the same amount of money at their jobs last weekend, how many
hours did Ernie work?
Answer:
9 hours
Step-by-step explanation:
126 divided by 14 = 9
You can check your answer by 9 times 14 which would give you 126.
The daily high temperatures in a vacation resorts in approximately normal, with a mean temperature of 75 Fahrenheit and a standard deviation of 6 degrees. What percentage of days have a high temperature between 66 and 88?
A.17.01%
B.35.62%
C.64.37%
D.72.99%
Your goal is to save $50. So far, you have saved $34. How much more money do you need to save? Write your answer as a rational number.
Answer:
You need to save $16 more dollars.
Step-by-step explanation:
If you add 16 to 34 you get 50.
Solve: -19x- 1 = -12x + 34
19−1=−12+34
19x-1=-12x+34
19x−1=−12x+34
19−1+1=−12+34+1
what is the slope of the line that contains these points? please help
Answer:
Plug in to find out
Step-by-step explanation:
Pick 2 complementary sets of coordinates
For this Q i am picking (36,8) & (31,10)
[tex]m=\frac{y2-y1}{x2-x1}[/tex] <-- this is the slope formula
Plug in the values and divide.
Answer:
Step-by-step explanation:
(8-10)/(36-31)= -2/5 is the slope
Whats the mean of 62,78,59and 89
[tex]\huge {\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}[/tex]
As we know that ,
⠀⠀⠀⠀Mean= sum of all numbers/ total number of numbers[tex] \longrightarrow [/tex] Mean= 62+78+59+89/4
[tex] \implies [/tex] Mean = 288/4
[tex] \implies [/tex] Mean= 72[tex]\huge\boxed{\fcolorbox{purple}{yellow}{Answer\:= \:72}}[/tex]Answer:
72
Step-by-step explanation:
62 + 78 + 59 + 89 = 288
then count how many data you have
288 / 4 = 72
2.5 puzzle time Which month has 28 days
Answer:
February has 28 days on every year except a leap year, but all months have at least 28 days.
Step-by-step explanation:
Answer:
February is the answer
Step-by-step explanation: hope this helps.
Which are removable discontinuities?
x = -2
x = -2 and x = 0
x = 0 and x = 4
x = -2, x = 0, and x = 4
Answer:
C
Step-by-step explanation:
Got it right on eng
Answer:C
Step-by-step explanation:
2(x + 7) + 3x = 12 (given)
2x + 14 + 3x - 12 (?)
5x + 14 - 12 (simplify)
5x = -2 (subtraction)
x = -2/5(division)
What is the missing reason?
A)
Addition
B)
Subtraction
c)
Reflexive Property
D)
Distributive Property
how do i solve intervals
if f(x) = 6(x - 2)3 + 5, what is the y- intercept?
Answer:
y= (0, -31)
Step-by-step explanation:
Hope this helps
(x² + 4x – 22) + (x + 6)
Answer:
12
Step-by-step explanation:
2) -9u-17 = -5u -7
Yallll help meeeI’ve been stuck
Answer:
u = -4.8 :)
Step-by-step explanation:
-9u-17=-5u-7
-5u=24
24/-5=-4.8
Simplify the expression and enter your answer below.
(191/99
Answer:
the correct answer is 1 92/99
The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?
Answer
25
Step-by-step explanation:
20/32 = 0.625
40 x 0.625 = 25
You can check by doing 25/40 and see if you get the same proportion (x/y)
25 is the correct answer 32/20 is 1.6 and 40/25 is also 1.6
Help me please math is a pain...
Answer:
D
Step-by-step explanation:
The degree of 10 moves the decimal. As we are multiplying, move the decimal 5 places to right.
Pls mark me brainliest
Answer:
Answer is D (750,000)
Step-by-step explanation:
Basically you do 10^5 = 10 x 10 x 10 x 10 x 10 to get 100,000 then you multiply by 7.25 lol
Round off the following numbers to 2 significant figures.
156
Answer:
your answer would be 160
How do we shift the graph of y=f(x) to get the graph of y = f(x) +5?
A Move the graph down by 5 units.
B Move the graph up by 5 units.
Answer:
B, Up 5 units
Step-by-step explanation:
because of the +
What’s the rule it’s algebra 1
Answer:
An algebraic rule is a mathematical expression that relates two variables and is written in the form of an equation. There are many constant algebraic rules, such as area = length x width. You can also create your own rule when given a set of variables
Step-by-step explanation:
Dylan makes $336 for 32 hours of work, and Angela makes $420 for 42 hours of work.
1] How much do Dylan and Angela each make per hour?
2] Is Dylan’s wage for 25 hours proportional to Amber’s wage for 42 hours? Why or why not?
Answer:
Step-by-step explanation:
1 . Dylan : $336/32 hrs = 10.50/ hr Angela : $420/42hrs = $ 10.00/hr
2. No because $ 10.50x25 262.50 where ambers is 15 420 there unit rate is different.
What is the inverse of the function f(x) = 1/4x – 12?
h(x) = 48x – 4
h(x) = 48x + 4
h(x) = 4x – 48
h(x) = 4x + 48
Answer:
h(x)=4x+48
Step-by-step explanation:
f(x) = 1/4x – 12
x=1/4y-12
x+12=1/4y
4x+48=y
h(x)=4x+48
Which postulate or theorem proves that these two triangles are
congruent?
HL Congruence Theorem
SAS Congruence Postulate
ASA Congruence Postulate
AAS Congruence Theorem
Answer:
ASA
Step-by-step explanation:
Took the test.
841/4 how much is it
Answer:
210.25
Step-by-step explanation:
841/4=210.25
A 33 pound bag of grass seed holds 2 pounds less than 5 smaller bags of seed. Find the weight of the smaller bag of seed.
Answer:
7 pounds
Step-by-step explanation:
33+2=35....35/5=7
Answer:
The answer is 7.
Step-by-step explanation:
33 + 2 = 35
35 ÷ 5 = 7
Plz solve for brainlistMarlene runs 4 km in 30 min. At this rate,
can Marlene run 6 km in 45 min?
Complete the following calculation an
d
explanation. Use the Communication
Checklist.
Answer:
comparing rates.. use the formula d = r * t where d= distance , r = rate or speed and t = time ofc. :)
Step-by-step explanation:
we know the distance and the time but not the rate.. find that r ....
d/t = r 4/30 = r = 0.13333333333 this is in Km per minute, b/c the 4 is Km and the 30 is in minutes. Units are not to important other than keeping track of what they are.
Now we can answer the question can Marlene run 6 Km in 45 mins. b/c we know her rate , or speed, so at her rate of 0.133333333 Km/min and using that d = r * t formula what is her distance in 45 minutes.. so multiply 45 * 0.133333= 6 so she runs exactly 6 Km in 45 minutes.. so the math answer is yes