What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 2 x2 + 15?
Answers
Answer:
B
Step-by-step explanation:
The effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)
Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given two functions, f(x) and h(x). Also, the function f(x) = x² is transformed to form h(x) = 2x² + 15. Therefore, we can write the transformation as,
f(x) vertically streched by a factor of2 first, Therefore,
g(x) = 2f(x)
= 2x²
Now, the function g(x) is moved up by 15 units, therefore,
h(x) = g(x) + 15
= 2x² + 15
Hence, the effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.
Learn more about Transforming functions:
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Related Questions
4. The perimeters of the rectangle and the triangle below are equal. Find the value of x.
Answers
Answer:
x=6
Step-by-step explanation:
the perimeter of the rectangle is equal to 2x + 16.
the perimeter of the triangle is equal to 3x + 10.
since they are equal now you can solve by saying 2x + 16 = 3x + 10
Now you solve for x
2x + 16 = 3x + 10
2x + 6 = 3x
6 = x
multiple of 2 and 5 which is 2 more than the third multiple of 6
Plz with steps..
Answers
Answer:
20
Step-by-step explanation:
the third multiple of 6 is 18
20 = 2+18
and it's also a multiple of 2 and 5
Answer:
5x2 -2
Step-by-step explanation:
when you times 2 and 5 it gives you ten when you minus it by 2 you get eight so six plus two equal to eight so that is your answer my friend
A five year old child receives an allowance of $1 each week. His parents promise him an annual increase of $2 per week. Write a formula for the child's weekly allowance in a given year.
Answers
What is the range of h
Answers
A rectangular based prism has a length of
23cm, a width of 28cm, and a height of 11m.
Find its volume.
Answers
Answer:
7,084 cm^3
Step-by-step explanation:
To calculate volume you have to take all three measurements and multiply them as so: x times y times z. In this case x = 23 y = 28 and z = 11. When you multiply these 3 numbers together you will get 7,048 cm^3.
Answer:
7,084 cubic cm
Step-by-step explanation:
V = 23 x 28 x 11
Solve the proportion. 8/11 = 4/y + 2
Answers
Answer:
The answer is Y = - (22)/(7 )
Step-by-step explanation:
The parenthesis do not mean anything write 22/7 as a fraction.. why did you report my answer so rude
A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?
Answers
Answer:
14.4
Step-by-step explanation:
Given that :
Principal = 4000
Interest (r) = 6.25% compounded annually
Calculate time, t, if final amount A = 9600
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
9600 = 4000(1 + 0.0625)^t
9600 = 4000(1.0625)^t
9600/4000 = 1.0625^t
2.4 = 1.0625^t
Take the log of both sides
0.3802112 = 0.0263289t
t = 0.3802112/0.0263289
t = 14.440811
t = 14.4 ( nearest tenth)
Daniel plays two games in the casino. The first game he believes he has 60% chance to win. If he wins the first game, he will win the second game with 25% chance, if he loses the first game, he will win the second game with 75% chance. The winning prices for the first and second game are $1 and $2 respectively
A. What is the probability that he wins the second game?
B. If he wins the second game, what is the probability that he also won the first game?
C. What is the expected value for the price he wins from the two games? What is the variance of it?
Answers
Answer:
1) the probability that he wins the second game is 0.45
2) the probability he wins the first game given that he won the second game is 0.333
3) Expected Value is $ 1.5 and the variance is 0.75
Step-by-step explanation:
Given the data in the question;
Let Win1 represent first game victory
and Loss1 represent first game loss
Let Win2 denote second game victory
and Loss2 denote second game loss
now from the Tree diagram of Daniel;
P ( Win1 ) = 0.6
P ( Loss1 ) = 0.4
P ( Win2 | Win1 ) = 0.25
P ( Loss2 | Win1 ) = 0.75
P ( Win2 | Loss1 ) = 0.75
P ( Loss2 | Loss1 ) = 0.25
1) probability that he wins the second game will be;
P ( Win2 ) = [P ( Win1 ) × P ( Win2 | Win1 )] + [P ( Loss1 ) × P ( Win2 | Loss1 ) ]
we substitute
= [0.6 × 0.25] + [0.4 * 0.75] = 0.45
Therefore the probability that he wins the second game is 0.45
2)
If he wins the second game, what is the probability that he also won the first game will be;
{From Bayes' Theorem}
P ( Win1 | Win2 ) = P ( Win1 ) × P ( Win2 | Win1 ) / P ( Win2 )
= 0.6 × 0.25 / 0.45 = 0.333
Therefore the probability he wins the first game given that he won the second game is 0.333
c)
winnings probability
$0 0.4 × 0.25 = 0.1
$1 0.6 × 0.75 = 0.45
$2 0.4 × 0.75 = 0.3
$3 0.6 × 0.25 = 0.15
so Expected Value = ∑( winnings × individual win probability)
= (0 × 0.1) + (1 × 0.45) + (2 × 0.3) + (3 × 0.15)
= 0 + 0.45 + 0.6 + 0.45
= $ 1.5
Variance = ∑( X² ) - (∑(X))²
∑( X² ) = Summation of ( Winnings² × Probability of Each Win )
so
Variance = 0 × 0 × 0.1 + 1 × 1 × 0.45 + 2 × 2 × 0.3 + 3 × 3 × 0.15 - ( 1.5 )²
Variance = 0 + 0.45 + 1.2 + 1.35 - 2.25
Variance = 3 - 2.25
Variance = 0.75
Therefore Expected Value is $ 1.5 and the variance is 0.75
If there are 13 pretzels in each cup, How many pretzels does He eat?
Answers
Answer:
Step-by-step explanation:
What is an equation in point-slope form the line that passes through the point (-3,5) and (2,-3)?
Answer
Y-5=-8/5 (x+3)
Answers
Answer:
Y-5=-8/5 (x+3)
Step-by-step explanation:
Answer:
Y-5=-8/5 (x+3) good luck
I’ll make you brainliest:Which shows the equation 12x + 4y = 480
in general form?
Answers
Answer:
y = -3x + 120
Step-by-step explanation:
Hope this helps!
A photographer charges $25 to travel to a client's location, plus $55 per hour for her
services. What is the duration, in hours, of a photography session that costs $465?
Answers
Answer:
8 Hours
Step-by-step explanation:
First, you have to subtract the 25$ because we already know that that is a stable value (meaning it will not change)
Then, you have to divide 440 by 55 to get an answer of 8 hours for the session :D
To find total multiply 55 by number of hours (h) and then add 25:
Total = 55h + 25
Given the total solve for h:
465 = 55h + 25
Subtract 25 from both sides
440 = 55h
Divide both sides by 55
H = 440/55
H = 8
It was 8 hours
A circular tablecloth has a diameter of 6 feet,as show on the picture.
What is the area,in square feet,of the tablecloth.
Answers
Sam's age is 2 years less than 3 times Kim's age. If Kim's age is x years, which expression best shows Sam's age?
x
x − 1
2x − 3
3x − 2
Answers
Answer:
3x - 2
Step-by-step explanation:
3 times Kim's age (x), so 3x; minus 2 years (Sam's age).
Answer:
The answer is 3x - 2 :)
Step-by-step explanation: 3x = 3 times Kim's age (x) minus 2
ok so um yea plz help....and if you find them i will do 2 thingss............face reveil anddddddddd BRAINLEIST for you
Answers
Answer:
4
Step-by-step explanation:
all you have to do is divide 12 by 3
Answer:
4 if ur doing division or 3 over 12
Step-by-step explanation:
What is
125% of
16?
please help me i’m not good at math at all.
Answers
Answer:
125% of 16 is 20
Step-by-step explanation:
Hope this helps!
Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£
Richard:
£
Nick:
£
Answers
Answer:
dan 14 Richard 42 nick 14
A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallon of water.
Answers
Answer:
What is the question?
Step-by-step explanation:
Answer: The initial value is 150 and the rate of change is 30
150+30x=y
When multiplying, the answer is negative when you:
A: multiply a positive (+) times a negative (-)
B: multiply a negative (-) times a negative (-)
C: multiply a positive (+) times a positive (+)
Answers
Step-by-step explanation:
b: multiplying a negative (-) by a negative (-)
Which of the following expressions is equal to -3x^2-12?
Answers
Answer:
The answer is (-3X+6i)(x+2i)
Step-by-step explanation:
You can do this by plugging in the answers in the equations and get that (-3x+6i)(x+2i) equals the following expression.
In equilateral triangle ABC above, y =
(A) 40
(B) 60
(C) 70
(D) 75
(E) 80
Answers
Answer:
60°
Step-by-step explanation:
In an equilateral triangle all sides are equal so as all angles are same,
3 sided fig. 180÷3= 60°
Which of the following was included in the “Declaration of the People”?
Texians wanted the Constitution of 1824 reestablished.
Texians wanted George Washington to be president instead of Santa Anna.
Texians considered themselves independent from Mexico,
The people of Texas want more restaurants.
Answers
Answer:
C
Step-by-step explanation:
Texas was not around during George Washington so that cant be correct
Texas was not around during the constitution of 1824
Texas did not want more restaurants lol
So Texans considered themselves independent from Mexico is correct
Answer:
Step-by-step explanation:Texas was not around during George Washington so that cant be correct Texas was not around during the constitution of 1824 Texas did not want more restaurants So Texans considered themselves independent from Mexico is correct
took it on edge 2020 and got it write with this
Laura bought some books. She spent a total of $71 after a discount of $5 off of her total purchase. Each book cost $4. How many books did she buy?
Answers
Answer:
4b-5=71
19 books
Step-by-step explanation:
b represents books, and 4 is the cost, so the cost (4•19) minus the discount (-5) equals 71 and solves the equation
Jada will draw two scale drawings of the same object on 1-cm grid paper. Each centimetre will represent a greater distance in the second
drawing than in the first. Jada claims that the lengths in the second drawing will be longer than the lengths in the first drawing. Do you agree? Give an example of a scale and a measurement to support your answer.
Search entries or author
Answers
Answer:
Jada is wrong. For example, say Jada is drawing scaled versions of a 10x10 yard square. In her first drawing, 1 centimeter = 1 yard, so the drawn square is 10x10 centimeters. In her second drawing, 1 centimeter = 2 yards, which is greater, like the problem says. This drawing will be only 5x5 centimeters, meaning the lengths will be smaller as each centimeter represents a greater number of yards.
carly mowed 2 more lawns than Roco each week for 6 weeks. carly mowed a total of 18 lawns. how many did Rocco mow each week?
Answers
Answer:
Rocco mowed 1 lawn a week.
Step-by-step explanation:
If Carly mowed 18 lawns in six weeks that’s 3 lawns a week and 3-2=1.
Thus Rocco mowed 1 lawn a week.
Given that the triangles shown below are similar, what is the value of x?
D
32
40
16
20
H
48
M
P
X
L
A. 20
O
B. 10.7
O
C. 96
O D. 24
Answers
Answer:
the answer is D. 24
Step-by-step explanation:
the smaller triangle is half the size of the bigger triangle so just divide 48 by 2
Why?
Question tells you that both triangles are similar, but the obvious difference is that one is smaller than the other.
As u can see HA = PD
32 = 16
The difference is 2
By dividing the value of HM (which is 48) u can get the answer 24.
Therefore the answer is D
Please helppp!! I suck at math
Answers
Answer:
5/6−1/9=13/18
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(5/6×3/3)−(1/9×2/2)=?
Complete the multiplication and the equation becomes
15/18−2/18=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
15−2/18=13/18
This fraction cannot be reduced.
Therefore:
5/6−1/9=13/18
What is the answer I need it ASAP
Answers
Answer:
the 1st one!
Step-by-step explanation:
Robert bough 3/4 pound of grapes and divided them into 6 equal portions.
What is the weight of each portion?
*
Answers
Answer: The answer should be 0.125
Step-by-step explanation:
$16 for 4 books. How much would 12 books cost?
Answers
Answer:
$48
Step-by-step explanation:
you would first need to find what the cost of 1 book is so
16 divided by 4 is 4
so 1 book is $4
then you would need multiply the cost of one book by 12
so 4 times 12 is 48
so the cost would be $48
Answer:
192
Step-by-step explanation:
times