The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?
A.
F(x) = –x2 – 3
B.
F(x) = x2 – 3
C.
F(x) = –(x + 3)2
D.
F(x) = –(x – 3)2
Answers
Answer:
the answer is A
Step-by-step explanation:
The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?
The function that represents the situation is F(x) = -x² - 3.
The correct option is A.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The value of k can find the direction of shift:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
Given that the parent function is g(x) = x².
To find the transformed function F(x):
The function's diagram is in the opposite direction.
That means the function is -x².
And the function is shifted 3 units down vertically.
From the definition the required function is,
F(x) = -x² - 3.
Therefore, F(x) = -x² - 3.
To learn more about the transformation on the graphs;
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Related Questions
how do i find the area and the perimeter of the triangle
Answers
Answer:
Remember what a right triangle is. A right triangle is a triangle that has one right (90 degree) angle.
Recall the Pythagorean Theorem. The Pythagorean Theorem tells us that for any right triangle with sides of length a and b, and hypotenuse of length c, a2 + b2 ...
Look at your triangle, and label the sides "a," "b," and "c". Remember that the longest side of the triangle is called the hypotenuse.
Step-by-step explanation:
Rehan wants to add a fence along his triangular garden whose sides are 14m,16m and 20m. What will be the length of fencing material? Give your answer in cm.
Answers
Answer:
5000cm
Step-by-step explanation:
14 + 16 + 20 = 50m
50m x 100cm/m = 5000cm
Find the slope of the line that passes through these points.
(2, 2) and (4, 4)
Answers
Answer:
1
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 4-2)/(4-2)
= 2/2
= 1
what is the Limited Development of ln(x+cosx) ?
Answers
Answer:
A quick hack is often to partially express some function in terms of a Taylor approximation about x0, since higher order terms of x go to zero if we are considering limits for (x−x0)→0. To really answer your question we need to know what the original question was, that is, about which point do you want the expansion? Let us assume around 0. Then we have the Maclaurin series:
cos(x)=1−12x2+O(x4)
You can add more terms if you need to. Now we write:
ln(1+(−12x2))=…
Do you know the standard Maclaurin series for this function?
Hint: it is of the form ln(1+u)
Step-by-step explanation:
What is the volume of this figure
Answers
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Answer:
(c) 27π cubic centimeters
Step-by-step explanation:
The volume is given by the formula ...
V = πr²h
Here, the diameter is given as 6 cm, so the radius is 3 cm and the volume is ...
V = π(3 cm)²(3 cm) = 27π cm³ . . . . . matches the 3rd choice
A random sample of 25 students in a school shows that the mean number of hours of sleep per night is 7.4 and the MAD
(mean absolute deviation) is 0.4.
Select the statement that is true.
A. The mean of this sample is likely to be the same as the mean number of hours of sleep per night of all students
in the school
B. A random sample of 50 students would likely provide a more accurate estimate of the mean number of hours of
sleep per night
C. Another random sample of 25 students is likely to have a mean between 70 and 7 8.
Answers
I am not sure what the answer is either. I am waiting for somebody to answer
Answer:it’s A
Step-by-step explanation:
Which of the following phrases translates to x - 9?
nine minus a number
nine decreased by a number
the difference between nine and a number
nine subtracted from a number
Answers
Answer:
the difference between nine and a number
Step-by-step explanation:
What is the lower fence of this data set?
25, 27, 28, 30, 30, 31, 38
Answers
Hope this helps :)
5 × ( 1/3 + 2/5 ) peealse i nedd a answer quick
Answers
Answer:
11/3 as improper fraction
3 2/3 as proper fraction
Step-by-step explanation:
5 × ( 1/3 + 2/5 )
use common denominator of 15
5 × ( 5/15 + 6/15 )
Add
5 × ( 11/15)
Reduce
1 × ( 11/3)
11/3
as a proper fraction
3 2/3
Answer:
3.666666667
Step-by-step explanation:
= 5 (1/3 + 2/5)
= (5 (1/3)) + (5 (2/5))
= (1.666666667) + (2)
= 3.666666667
Hope this helps :)
Which mathematical property is demonstrated below? 3 + 0 = 3
Identity Property
Indemnify Property
Idiocy Property
Idolatry Property
Answers
Answer: Identity Property
Step-by-step explanation:
The rest have very fake names lol
Answer:
Identity Property
Step-by-step explanation:
Identity Property :
Any number plus zero is the original number.
Hope it is helpful....What is the effective rate of interest if $1,000 compounds to $1,331 in 3 years?
The effective rate of interest, if $1,000 compounds to $1,331 in 3 years is
%.
Answers
9514 1404 393
Answer:
10%
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r)^t
Filling in the given values, we have ...
1331 = 1000(1 +r)^3
1.331^(1/3) = 1 +r = 1.1 . . . . . divide by 1000, take the cube root
r = 0.1 = 10% . . . . . . . subtract 1
The effective rate is 10% per year.
QUESTIONS
A salt is packed in jars containing 32 grams. How many jars can be filled from 15kg of the salt? [
Answers
Answer:
Number of jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)
Step-by-step explanation:
Given:
Amount of salt containing in jar = 32 gram
Total amount of salt in jar = 15 kg
Find:
Number of jars can be filled from 15kg of the salt
Computation:
Total amount of salt in jar = 15 kg
Total amount of salt in jar (in grams) = 15 x 1000 g
Total amount of salt in jar (in grams) = 15,000 g
Number of jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar
Number of jars can be filled from 15kg of the salt = 15,000 / 32
Number of jars can be filled from 15kg of the salt = 468.75
Number of jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)
The college bookstore tells prospective students that the average cost of its textbooks is $92 per book, with a standard deviation of $15. The engineering students think that the average cost of their books is higher than the average for all students. To test the bookstore’s claim against their alternative, the engineering students collect a random sample of size 45, and calculate x = $97.34.
Grade: 5 4 3 2 1
Communication strong ←− − − − − − −→ weak ×2
Required:
Conduct a hypothesis test with α = 0.05 to see if the students’ claim is supported. Use the classical approach.
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the attached file for the solution.
please help.............................
Answers
Answer:
Step-by-step explanation:
Like therms have the same literal part
-6/7p + 1/7
b. Convert 17 g to oz
Answers
Answer:
2176 ounces
Step-by-step explanation:
one gallon has 128 ounces
the table below shows some inputs and outputs of the invertible function f etc
Answers
Answer:
[tex](a)\ f^{-1}(-15) = -6[/tex]
[tex](b)\ f^{-1}(4) + f(9)=0[/tex]
Step-by-step explanation:
Given
The attached table
[tex](a)\ f^{-1}(-15)[/tex]
This represents an inverse function.
So, we look into x row for its value.
i.e.
[tex]f^{-1}(-15) = -6[/tex]
[tex](b)\ f^{-1}(4) + f(9)[/tex]
Just like (a)
[tex]f^{-1}(4) = -11[/tex] ---- by looking into the x rows
[tex]f(9) = 11[/tex]
So:
[tex]f^{-1}(4) + f(9)=-11 + 11[/tex]
[tex]f^{-1}(4) + f(9)=0[/tex]
Find the area of the figure to the nearest thousandth
Answers
Answer:
[tex]236.715\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
The area of the figure consists of a rectangle and two half-circles.
Area of rectangle: [tex]15\cdot 4=60[/tex]
Area of two half-circles: [tex]2\cdot \frac{1}{2}\cdot 7.5^2\cdot \pi=176.714586764[/tex]
Thus, the total area of the figure is
[tex]60+ 176.714586764\approx \boxed{236.715}[/tex]
PLZ HELP ME , PLZ HELP AND PLEASE, PLZ HELP JUST PLZ HELP THANK YOU FOR YOUR TIME
Use the box plot to explain what you know about the spread of this data set.
Answers
Answer:
Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!
bit.[tex]^{}[/tex]
Answer:
The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"
The median of the data is 50 (middle line inside the box)
The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.
The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.
The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.
Let me know if you have questions about this answer. I'm happy to help.
It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
Answers
Answer:
22
Step-by-step explanation:
5.50/0.25 = 22
Answer:
22
Step-by-step explanation:
5.50 cups of sugar divided by the .25 cups needed for each batch gives you 22 :)
football team scores 42 points in 3
games. Find the unit rate
Answers
Answer:
14
Step-by-step explanation: divide..
Answer:
14 points per game
Step-by-step explanation:
42/3 = 14
ILL GIVE BRAINLIEST!! please answer this and tell me how you got it for the calculations on the side. there's also a bonus question- "how far is it from the tip of the flag pole to the tip of the shadow" please answer that if you can and show work too. NO BITLY thank you!
Answers
Answer:
Height of Flagpole: 24.03 feet
Length between tip of flagpole and tip of shadow: 46.67 feet
Step-by-step explanation:
So the angle of elevation (31°) is facing directly opposite of the flagpole. The shadow of the flagpole (40 ft) is adjacent to the angle of elevation. Therefore, the tangent function incorporates both the opposite and adjacent sides of the right triangle created. We would then make the equation and solve for the height of the flagpole which is the opposite side (h in this case):
tanθ = opposite/adjacent
tan(31°) = h/40
40tan(31°) = h
24.03442476 = h
h ≈ 24.03
Therefore, the height of the flagpole is about 24.03 ft.
As for your bonus question, the length of the tip of the flagpole to the tip of the shadow would be the hypotenuse of the triangle created, which can easily be found using the Pythagorean Theorem (using exact values):
a² + b² = c²
(40tan(31))² + (40)² = c²
577.6535736 + 1600 = c²
2177.6535736 = c²
46.66533589 = c
c ≈ 46.67
Therefore, the length from the tip of the flagpole to the tip of the shadow is 46.67 ft.
The image of the point (-5, 1) under a translation is (-6,3). Find the
coordinates of the image of the point (2, -3) under the same translation.
Answers
Answer:
The coordinates are (1,-1).
Step-by-step explanation:
The image of the point (-5, 1) under a translation is (-6,3).
Point x was -5 and now is -6, and y was 1 and now is 3. Thus, the transaction rule is:
(x,y) -> (x - 1, y + 2)
Find the coordinates of the image of the point (2, -3) under the same translation.
(2,-3) -> (2-1, -3 + 2) = (1,-1)
The coordinates are (1,-1).
A circle is cut from a square piece of cloth, as shown.
How many square inches of cloth are cut from the square?
(TT = 3.14)
•1,017,36 in2
•1.182.96 in2
•1276.00 in2
•1.489.24 in2
Answers
Answer:
area of a circle= πr²
= 3.14×18×18×
=1017.36 in²
Find parametric equations through point P=(2,2,7) in the direction of the vector v = (44, 14, -20)?
Answers
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Answer:
(x, y, z) = (2+44t, 2+14t, 7-20t)
Step-by-step explanation:
One way to write parametric equations for line L is ...
L = P + t·v
where P is the given point and v is the given direction vector. Using that form, we have ...
(x, y, z) = (2+44t, 2+14t, 7-20t)
__
If you like, you can remove a common factor of 2 from the coefficients of t.
(x, y, z) = (2+22t, 2+7t, 7-10t)
A plumber can complete a job in 2 hours. If an apprentice helps, it takes only 1 1/3 hours. How long would it take the apprentice working alone?
Answers
Hello there I hope you are having a great day :) You Question A plumber can complete a job in 2 hours. If an apprentice helps, it takes only 1 1/3 hours. How long would it take the apprentice working alone?
(1 1/3) / 2 + (1 1/2) / a = 1
(4/3)a + (4/3)2 = 2a multiply both sides by 2a
(4/3)2 = (2/3)a subtract (4/3)a from both sides
8/3 = 2a/3 simplify
8 = 2a
4 = a
Hopefully that help you :)
A bag contains 2 red marbles and 3 blue marbles. What is the probability of drawing a red marble, keeping it, and drawing another red marble?
Answers
Answer:
Step-by-step explanation:
the first marble has a probability of 2/5
the second marble has a probability of 1/4
P(r=2) = 2/5 * 1/4 = 2/20 = 1/10
Answer:
2/5, 1/4
Step-by-step explanation:
The total amount of marbles before drawing a marble is 2+3=5. There are 2 red marbles. Thus, the theoretical probability of drawing a red marble from the bag is 2/5.
If you keep the red marble, there are now 4 total marbles in the bag. There is also only 1 remaining red marble. Thus, the theoretical probability of drawing a red marble is now 1/4.
what is the median of this data set ?
21,42,63,84,105,126,147
a.21
b.63
c.84
d.126
Answers
Answer:
c. 84 is the answer
Step-by-step explanation:
If f(x) = 6x3 – 11x2
6x3 – 11x2 – 26x + 15 and
f(3) = 0, then find all of the zeros of f(x)
algebraically.
Answers
Answer:
f(6)g(8)f(3)=0
Step-by-step explanation:
its a mathematics formula its ia trick
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
SELECT ALL THAT APPLY
Which of the following are INDEPENDENT events?
a.) You randomly choose 2 socks from a drawer, hoping they will match.
b.) You draw a marble from a bag, replace it, and draw again.
c.) You draw two numbers from 1 to 10 from a hat without replacing the first.
d.) You flip a coin and roll a number cube.
Answers
Answer:
A
Step-by-step explanation:
I hope this helps.
Have a good day :)
a.) You randomly choose 2 socks from a drawer, hoping they will match.
Bronco, Inc., imposes a payback cutoff of three years for its international investment projects.
Year Cash Flow (A) Cash Flow (B)
0 –$ 61,000 –$ 71,000
1 23,500 15,500
2 29,000 18,500
3 21,500 27,000
4 8,500 231,000
What is the payback period for both projects?
Answers
Answer:
4476966756TTTVFD
Step-by-step explanation: