Which statement explains the difference between the graphs of f(x) = 4x^2 and g(x) = -8x^2 ?
A) The graph of g(x) is obtained by flipping f(x) over the y-axis and stretching vertically by a factor of 2.
B) The graph of g(x) is obtained by flipping f(x) over the x-axis and compressing vertically by a factor of 2.
C) The graph of g(x) is obtained by flipping f(x) over the x-axis and stretching vertically by a factor of 2.
D) The graph of f(x) is obtained by flipping g(x) over the y-axis and compressing vertically by a factor of 2.
Answers
Answer:
I think C is best explains
The correct option is B.
The graph of g(x) is obtained by flipping f(x) over the x-axis and compressing vertically by a factor of 2.
What is transformation?Transformation means to change. Hence, a geometric transformation would mean to make some changes in any given geometric shape.
Given are two functions f(x) = 4x² and g(x) = -8x², we need to see the transformation done in the function f(x) to give g(x).
So,
We can see that there is scale factor of 2, because it was 4 in f(x) and in g(x) it became -8 that means the graph have been compressing vertically by 2 units.
Also, the presence of minus sign, this is because the reflection has been done here about x-axis, so it becomes -8x².
According to our study we can say that the graph is reflected over x-axis and compressing vertically by 2 units.
Hence, the correct option is B.
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Related Questions
Find the area. (Include units in your response)
Answers
Answer:
=14x+21m
Step-by-step explanation:
7*(2x+3)
use distributive property:
14x+21
cant go any further ‘cause we don’t have an x value or = sign at the end
the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be
Answers
Answer:
8 dogs
Step-by-step explanation:
If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.
I would appreciate Brainliest but no worries.
The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°.
Answers
Complete question :
The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°How far is the point from the base of the tower.
Answer:
4.04 meters
Step-by-step explanation:
To obtain the distance between baso of tower and point P on the ground as shown in the solution diagram :
Using trigonometry :
Tan θ = Opposite / Adjacent
Tan 22° = x / 10
0.4040262 = x / 10
0.4040262 * 10 = x
x = 4.04
Hence, distance between base of tower and point P on the ground is 4.04 meters
don’t mind the second one l o l
Answers
Answer:
I think a because i'm doing this stuff in math too
Step-by-step explanation:
I dont know the explanation
So sad but so true do you think so ???
Answers
Triangle XYZ has the following values:
m<X = 92 degrees
m<Y =42 degrees
what is the measure of angle Z?
Answers
Answer:
46 degrees
Step-by-step explanation:
Total angular measurement for a triangle = 180
180 - 92 - 42 = 46 degrees
PLZZ HELP!!!! ASAP PLZ!!!!
XTRA POINTS!!!
Answers
Answer:
38.1 cm²
Step-by-step explanation:
area of full circle = π6² = 113.04 cm²
area of 150° segment = (150/360)(113.04) = 47.1 cm²
triangle base = sin 75° x 6 x 2 = 11.59
triangle height = cos 75° x 6 = 1.553
area of triangle = 1/2(11.59)(1.553) = 9 cm²
150° segment - triangle = 47.1 - 9 = 38.1 cm²
Pat bounces a basketball 25 times in 30 seconds.At that rate, approximately how many times a will Pat bounce the ball in 150 seconds?
A. 120
B.125
C.144
D.145
Answers
Answer:
b........... ........
Answer:
B.125
Step-by-step explanation:
25:30->?:150
150/30=5
25:30x5=125:150
2/3 times 3/4 in simplest form
Answers
Answer:
1/2
Step-by-step explanation:
2/3 times 3/4 is 6/12, and 6/12 in simplest form is 1/2.
Which number is not a rational number?
A.
−
√
16
B.
−
1
.
6
C.
2
D.
π
Answers
Answer:
D, π
Step-by-step explanation:
It is because you cannot write π in the form of a/b
Type the correct answer in each box. Use numerals instead of words.
Consider the quadratic equation x² + 10x + 27 = 0.
Completing the square leads to the equivalent equation (x + ___)² = ___.
.
Answers
Answer:
(x + 5)² = 2 ==> x² + 10x + 27 = 0
Completing the square of the given quadratic equation leads to the equivalent equation (x + 5)² = -2.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
Given quadratic equation is,
x² + 10x + 27 = 0
We have the algebraic identity that,
(a + b)² = a² + 2ab + b²
The given quadratic equation is in the form of a² + 2ab + b², where a = x.
So, 2xb = 10x
⇒ b = 5
Now, b² = 25.
So, the given can be written as,
(x² + 10x + 25) + 2 = 0
(x + 5)² = -2
Hence the equivalent form is (x + 5)² = -2.
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answers
Answer:
D
Step-by-step explanation:
Can someone please help me ⚠️
Answers
H = 11 - 3g
I hope this helps
Which number line shows - 2/3 graphed?
Answers
Answer:
The third one
Steps:
hope this helps :b
Solve forj j - 263 = 243
Answers
J needs to be isolated so add 263 to both sides. -263 is cancelled out and 263 + 243 is 506.
Hence the answer of 506
Answer:
The value of j is 506
Step-by-step explanation:
j - 263 = 243
j = 243 + 263
j = 506
Thus, The value of j is 506
-TheUnknownScientist
What's the perimeter?
Answers
Answer:
the line crossing the trapezoid, the one that helps you find the S. In this case the perimeter is 4 (;
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
perimenopause is inside just count the inside of the trapezoid
hope this helps
Neal purchases a digital camera for his
family to use on their vacatlart. The model he
purchases is on sale for $129. The sales tax
rate for his city iş 7.5%.
How much sales tax does Neal pay on the
digital camera?
Answers
Answer:
101.91
Step-by-step explanation:
Someone help and plz make sure it’s right? :)
Answers
Answer:
Right
Step-by-step explanation:
It is right because every angle with 90° degree or with these shapes are called right angled traingle.
if it helps don't forget to like and mark me
90,85,80,70,90,65
mean_
median_
mode_
range_
Answers
Median= 82.5
Mode= 90
Range= 25
What is the measure of angle Y?
Answers
Answer:
what's the question
Step-by-step explanation:
is there a photo you can post we need more info
What is the mean of the set of data? 18, 11, 16, 8, 16, 21 plz help
Answers
Sonia walks to her aunt's house. She leaves home at 1025. She walks a total of 12km at an average speed of 5km/h. Work out the time Sonia arrives at her aunt's house.
Answers
Answer: 1249 hrs
Step-by-step explanation:
Sophia walked for 12 km to get to her aunt's house.
She did this at a speed of 5km/h which means that the time taken was:
Time = Distance / Speed
= 12 / 5
= 2.4 hours
2.4 in hours:
= 0.4 * 60 minutes
= 24 minutes
= 2 hours 24 minutes
If she left at 1025, she would arrive at:
= 1025 + 2 hours 24
= 1249 hrs
the scale of a model lighthouse is ½ inch = 4 feet. the real lighthouse is 75 feet tall, how tall wil the model lighthouse be
Answers
Answer:
9.375Inch
Step-by-step explanation:
First I did 75 divided By 4 to get how many 4 feet the light house is and then got 18.75 ft and then divided that by 2 and got 9.375inches
If P(A) = .24 and P(B) = .52 and A and B are mutually exclusive, what is P(A or B)?
(a).1248
(b).28
(c).6352
(d).76
Answers
PLEASE HELP ASAP!!!!!!! I DONT HAVE MUCH TIME! 15 POINTS❗️
Answers
Answer:
negative slope, y= -x+2
Step-by-step explanation:
Big brain is why
You find a piece of wood that is 10.23 cm long and your friend finds on ethat is 17.65 cm long how long would they be if you attached them?
Answers
27.88
Explanation:
10.23 + 17.65 = 27.88
Hope this helps!!
By adding the lengths of the two pieces of wood (10.23 cm and 17.65 cm), they would be 27.88 cm long when attached.
Addition is the process of adding two or more numbers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.
Given that,
The length of your wood = 10.23
The length of your friend's wood = 17.65
Denote the length of your piece of wood as "x" and the length of your friend's piece as "y".
In this case,
x = 10.23 cm
y = 17.65 cm.
To find the total length when they are attached,
Add the lengths as
x + y = 10.23 cm + 17.65 cm
Now, calculate the sum:
x + y = 27.88 cm
Hence,
If you attach the two pieces of wood, the total length would be 27.88 cm.
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Evaluate the following: 21 - 8- (-5)(7)| - 54
Answers
Answer:
21−8−(−5)(7)−54
=−6
Step-by-step explanation:
21−8−(−5)(7)−54
=13−(−5)(7)−54
=13−(−35)−54
=48−54
=−6
y=3x+4 and 2x-3y=-26 solve for x and y
Answers
Step-by-step explanation:
2x - 3(3x+4) = 26
2x -9x -12 = 26
-7x = 38
x = -38/7
y = 3(38/7) +28/7
y = 142/7
A circle has a radius of 8 centimeters. The measure of the arc of the
shaded region is 72º. Which is closest to the area of the shaded section
Answers
Answer:
92
Step-by-step explanation:
The height of a triangle is 6 m more than its base. The area of the triangle is 56 m². What is the length of the base?
Answers
Answer:
8
Step-by-step explanation:
x(x+6)/2=56
x^2(6x)=112
x^2(6x)-112=0
By trial and error, we can try base =1, height = 7, etc
base =8
height = 14
