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
Suppose the circumference of a circle is 6 pi. What is its diameter?
Answers
Answer:
the ans is 12
Step-by-step explanation:
C= RadiusxPi
Radius=6
D=Rx2
D=12
(hope this helps can i plz have brainlist :D hehe)
Find volume of rectangular prism 18ft,12ft,16ft
.
Answers
Answer:
The volume of the rectangular prism is [tex]3456ft^2[/tex].
Step-by-step explanation:
18 * 12 * 16 = [tex]3456ft^2[/tex]
Solve the linear equation: 5 - x = (x/2)
Answers
Hi
5-x = (x/2)
5 = (x/2) +x
10 = x+2x
10 = 3x
10/3 = x
let's check :
5- 10/3 = 15/3 -10/3 = 5/3
(10/3) /2 =10/3 * 1/2 = 10/6 = 5*2/3*2 = 5/3
solve for x: 2x^2 + 3x = 2
solving other quadratic equation by factoring
Answers
Answer: x=1/2,-2
not sure if that is what you need
Step-by-step explanation:
Solve the equation by graphing. x^2-7x+12=0
Answers
Answer:
the answer is GH mm djmwshdnsnda
find the product and reduce to lowest terms 4/9 x 18
Answers
Answer:
8
Step-by-step explanation:
its cuuz it is
Answer:
x = 8
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4/9-(x/18)=0
Step by step solution :
STEP
1
:
x
Simplify ——
18
Equation at the end of step
1
:
4 x
— - —— = 0
9 18
STEP
2
:
4
Simplify —
9
Equation at the end of step
2
:
4 x
— - —— = 0
9 18
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 9
The right denominator is : 18
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 2 2 2
2 0 1 1
Product of all
Prime Factors 9 18 18
Least Common Multiple:
18
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 2
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 4 • 2
—————————————————— = —————
L.C.M 18
R. Mult. • R. Num. x
—————————————————— = ——
L.C.M 18
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4 • 2 - (x) 8 - x
——————————— = —————
18 18
Equation at the end of step
3
:
8 - x
————— = 0
18
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
8-x
——— • 18 = 0 • 18
18
Now, on the left hand side, the 18 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
8-x = 0
Solving a Single Variable Equation:
4.2 Solve : -x+8 = 0
Subtract 8 from both sides of the equation :
-x = -8
Multiply both sides of the equation by (-1) : x = 8
One solution was found :
x = 8
Tansy has 4 different pieces of fruit in a bag . She pulls the pieces out one at a time. In how many different orders could tansy pull the fruit out of the bag
Answers
Answer:
24
Step-by-step explanation:
4!
! represents multiplying all the numbers behind
4*3*2*1=24
Use the distributive property to simplify each expression.
(-5d + 1) (-2)
Answers
Answer: 10d-2
Step-by-step explanation:
Answer:
10d - 2
Step-by-step explanation:
Multiply each term inside parentheses by -2, separately:
10d - 2 (answer)
Please can someone please help me answer this question
Don't put links
I rlly need it
Answers
Answer:
1.10231131
Step-by-step explanation:
Need help getting the answer to the question below.
Answers
Answer:
.0065
Step-by-step explanation:
You move the decimal backwards 3 times
Answer:
The answer is 0.0065
Step-by-step explanation:
Hope it will help you...
Find the solution for the system of equations using substitution.
Answers
Answer:
x= 7/3
Step-by-step explanation:
y=2x+5
5x-2=2x+5
transfer 2x to the left side and -2 to the right side you get
5x-2x=2+5
as it transfers the sign changes
3x=7
x=7/3
Find the GCF of 4x3and7x5
Answers
Answer:
GCF of 4 x 3 should be 1
GCF of 7 x 5 should also be 1
Hope this helps, and sorry if it is incorrect, there isn't very much context to this question!
If you were asked to round the number 9.6173 to the nearest hundredths place, how many digits would you have after the decimal point?
Answers
Answer: I don't think you would move it
Step-by-step explanation: let me know if I'm wrong
Elisa asked random customers at two different stores in Austin
Answers
Answer:
That does to make sense...
Maybe extend the question
Please please ASAP ASAP please ASAP thank you so much please
No links or files please
Answers
Answer:
(0, 3)
Step-by-step explanation:
Y axis changes and x axis stays the same
Branliest For Correct answer
Please I need help
Factor Completely
a^2 - a - 20
Answers
Answer:
[tex]\left(a+4\right)\left(a-5\right)[/tex]
Step-by-step explanation:
Break the expression into groups.
=(a^2+4a)+(−5a−20)
Factor out a from a2+4a: a(a+4)
Factor out −5 from −5a−20: −5(a+4)
=a(a+4)−5(a+4)
20/3=2(w+2/3)
What’s the value of w
Answers
Answer: w=8/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
20 /3 =2(w+ ( 2 /3 )
20 /3 =(2)(w)+(2)( 2 /3 )(Distribute)
20 /3 =2w+ 4 /3
Step 2: Flip the equation.
2w+ 4 /3 = 20 /3
Subtract 4/3 from each side: 2w+ 4 /3 − 4 /3 = 20 /3 − 4 /3
Divide both sides by 2: 2w/ 2 =16 3 /2
Answer w=8/3
Answer:
w=8/3
Step-by-step explanation:
According to the graph, which of the following is true? Half of each day is taken up by sleeping and eating. School and homework take up over half of a day. The total time spent on chores and homework is greater than the amount of free time. The smallest part of a day is spent at school.
Answers
Answer:
Half of each day is taken up by sleeping and eating.
Step-by-step explanation:
Answer:
I had this question it was very easy it is C. The total time spent on chores and homework is greater than the amount of free time.
Step-by-step explanation:
Sam is a cashier at the local grocery store. He earns $8/hr and works there 10 hours per
week. Every week, he puts 75% of his money in a savings account so he can reach his goal
of having $1,000 as an emergency fund. School is starting in a few weeks and he wants to
buy some new supplies including a backpack, pens and notebooks, and more. He
estimates the total will be about $75.
T
Answers
Answer:
A. $80
B. $60
C. 4 Weeks
D. Sam might have to work more at his work or possibly lower the amount of money he needs to save.
Step-by-step explanation:
Hope this Helps!!
The number of weeks taken by Sam to save enough money is 17 weeks.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
a) Money Sam earns in one week = Money paid per hour * Number of hours per week
= 8×10
= $80
b) Money saved every week is
75% of 80
= 75/100 ×80
= 0.75×80
= $60
c) He can reach his goal of having $1,000 as an emergency fund.
Let the number of weeks taken by Sam to save enough money be x.
Now, 60x=1000
x=1000/60
x=17 weeks
d) School is starting in a few weeks and he wants to buy some new supplies including a backpack, pens and notebooks, and more.
He estimates the total will be about $75.
So, Sam has to work one week extra to purchase his needs for school.
Therefore, the number of weeks taken by Sam to save enough money is 17 weeks.
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Find the mean of the following data set
73, 81, 51, 76, 89, 95, 88
Answers
Answer:
[tex]mean = \frac{(73 + 81 + 51 + 76 + 89 + 95 + 88)}{7} \\ = 79[/tex]
Answer:
79
Step-by-step explanation:
What is mean? The mean is the same as an average. To find the mean, add all the letters together. Then, divide this sum by the total amount of numbers.
Step One: 73+ 81+51 +76+ 89+ 95+88= 553
Step Two: Divide by numbers, in this case, there are 7: 553/7= 79.
There you go!
Question 11
125
C
15
Oo
$15
I’m
Answers
Answer:
Yes, the answer you chose is correct.
Some parents will drive 17 children to summer camp. Each parent can fit 4 children in a car.
What is the fewest number of parents needed to drive all the children?
Answers
Answer:
5
Step-by-step explanation:
what is the domain and range of:
y=(x+5)^2
Answers
Answer:
Domain : R
Range : [0,+∞)
Taylor had a bag of 28 marbles. 5 red, 9 blue, 8 yellow, and 6 black. If Taylor pulled out a yellow one and DID NOT put it back in. What is the
probability of pulling out a blue marble (SIMPLIFY YOUR FRACTION).
Blank 1:
Blank 2:
Answers
Answer: 1/3
Step-by-step explanation:
Number of red marbles = 5
Number of blue marbles = 9
Number of yellow marbles = 8
Number of and black marbles = 6
Total number of marbles = 28
If Taylor pulled out a yellow one and didn't replce it, there'll be 27 marbles left since one has been removed, then the probability of picking blue marbles will be:
= Number of blue marbles / Total marbles
= 9 / 27
= 1/3
The probability of picking a blue marble is 1/3.
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x+10)^{\circ}∠A=(2x+10) ∘ and m\angle B=(2x+2)^{\circ}∠B=(2x+2) ∘ , then find the measure of \angle A∠A.
Answers
Answer:767
hh
Step-by-step explanation:
ggfhgjgfhvff
h k
hgh j
gvjhg878
y7uy
8768
87
The population of village increases by 2% every year. The current population is 1000. What will be the population after 2 years?
Answers
Answer:
1040 approx
Step-by-step explanation:
Given data
Rate = 2%
Population= 1000
Time = 2 years
We can apply the expression below to find the population after 2 years
A= P(1+r)^t
Substitute
A= 1000(1+0.02)^2
A=1000(1.02)^2
A=1000*1.0404
A=1040.4
Hence the population is 1040 approx
A sports company randomly sends out various cards of 8 different sports.
How could this simulation be used to determine the sport of the next 20 cards the company sends out?
a.
Survey 20 people about their favorite sport.
b.
Repeat the flipping the coin 3 times simulation 20 times.
c.
Repeat the drawing a marble simulation 20 times.
d.
Repeat the spinning a spinner simulation 20 times.
Answers
Answer:
D
Step-by-step explanation:
helpppp plss:)))))))
(the answer is not c though)
Answers
I need ur Helppppp ASAP plssss
Answers
Answer:
50 I believe
Step-by-step explanation:
Sorry if I'm wrong!
Answer:
84.78
Step-by-step explanation:
Suppose a study estimated that 61% of the residents of a community (with an
error range of 18 percentage points at 95% confidence) favor replacing the
playground equipment. Which of the following percentages of the
community's residents may favor replacing the playground equipment?
A. 82%
B. 54%
C. 72%
D. 95%
Answers
Finding the confidence interval, it is found that the percentages of residents that may favor replacing the equipment is be given by:
B. 54%.
What is a confidence interval?The interval is given by the estimate plus/minus the margin of error. The range is twice the margin of error.
In this problem, we have that:
The estimate is of 61%.Since the range is of 18%, the margin of error is of 9%.Hence the interval is given by:
(61% - 9%, 61% + 9%) = (52%, 70%).
Each of the values in the interval can be the percentage, hence option B is correct.
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