Which of the following describes the graph of y- V8x--64 - 5 compared to the parent cube root function?
O stretched by a factor of 2 and translated 64 units right and 5 units down
O stretched by a factor of 8 and translated 8 units right and 5 units down
O stretched by a factor of 2 and translated 8 units right and 5 units down
O stretched by a factor of 8 and translated 64 units right and 5 units down
Answers
Answer: option 4
Step-by-step explanation:
The transformation of the parent function is stretched by a factor of 2 and translated 8 units right and 5 units down
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 data ,
Let the parent function be represented as f ( x )
Now , the value of f ( x ) = ∛x
And , the given function is y = ∛ ( 8x - 64 ) - 5
On simplifying , we get
Taking 8 as the common factor , we get
y = ∛ 8 ( x - 8 ) - 5
Now , the cube root of 8 is 2
So , y = 2∛(x - 8 ) - 5
The transformed function is y = 2∛(x - 8 ) - 5
And , the transformation is a vertical stretching by a factor of 2
And , a horizontal right shift by 8 and a vertical down shift by 5
Hence , the transformation of function is stretching by a factor of 2 and translated 8 units right and 5 units down
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Related Questions
There are 104 coins in a bottle.
1/2 of the coins are £1 coins.
The rest of the coins are 20p coins.
Work out the total value of 104 coins.
Answers
Answer:
its easy solve it with calculator
Step-by-step explanation:
7. A random selection will be made from a bag containing different
colored disks. Of the 25 disks in the bag, 5 are yellow,
so P(yellow) - 25
a. The probability that a yellow disk will be selected is O is
b. Complete the sentence to describe the likelihood of randomly
selecting a yellow disk,
It is
that a yellow disk will be randomly selected
from the bag.
Answers
Probability of yellow disk will be selected is [tex]\frac{4}{5}[/tex]. probability [tex]\frac{5}{25}[/tex] that a yellow disk will be randomly selected from the bag.
What is probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Given
n(S) = 25
a. Probability of yellow disk will be selected is O is
n(E) = 25 - 5 = 20
P(E) = [tex]\frac{n(E)}{n(S)}[/tex] = [tex]\frac{20}{25}[/tex] = [tex]\frac{4}{5}[/tex]
b. It is the probability [tex]\frac{5}{25}[/tex] that a yellow disk will be randomly selected from the bag.
Hence, Probability of yellow disk will be selected is [tex]\frac{4}{5}[/tex]. probability [tex]\frac{5}{25}[/tex] that a yellow disk will be randomly selected from the bag.
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HELP NEEDED!
Write down an algebraic expression for each of the following statements.
A. Subtract the cube root of the product of x and 3y from the square of the sum of a and b.
B. The total value of x 20-cent coins and y 5-dollar notes in cents.
Answers
Answer:
A) [tex](a+b)^{2}- \sqrt[3]{x . 3y}[/tex]
B) 20 x + 500 y
Step-by-step explanation:
A. Subtract the cube root of the product of x and 3y from the square of the sum of a and b.
A = The square of the sum of a and b is [tex](a+b)^{2}[/tex]
B = The cube root of the product of x and 3y is [tex]\sqrt[3]{x . 3y}[/tex]
They want us to subtract B from A so B - A, therefore the following.
[tex](a+b)^{2}- \sqrt[3]{x . 3y}[/tex]
B. The total value of x 20-cent coins and y 5-dollar notes in cents.
20x cents is already provided as they want the expression in cents. Moving on to the $5 dollar note. We will have to convert this $5 into cents in order to fulfill the question requirements.
Convert:
1 dollar = 100 cents
5 dollars = 100x5 = 500 cents
Therefore, 5y dollars = 500y cents. Finally, we end up with the following answer.
20 x cents + 500 y cents
20 x + 500 y
Find the equation of the line passing through the point (-3,0)and (2,-3)
Answers
Answer: y = -0.6x – 1.8 or y = -3/5x - 9/5
Step-by-step explanation: I got this by plotting out the two points, getting the slope, and finding the y - intercept.
14. A real estate agent sells a house for $176,500. She earns a 3.5% commission. To the nearest dollar, how much does she earn? * A $61,775 B $6178 C $617,750 PLZ HELP ILL GIVE BRAINLIEST
Answers
Answer: $6,178
Step-by-step explanation:
176,500 x 3.5%
3.5% = .035
176,500 x .035 = 6,177.5
$6,177.5 rounded = $6,178
The area of a circle is 36π in². What is the circumference, in inches? Express your answer in terms of \piπ.
Answers
Answer:
[tex]12\pi in[/tex]
Step-by-step explanation:
We are given that
Area of circle=[tex]36\pi in^2[/tex]
We have to find the circumference of circle in inches.
We know that
Area of circle=[tex]\pi r^2[/tex]
Using the formula
[tex]36\pi=\pi r^2[/tex]
[tex]r^2=36[/tex]
[tex]r=\sqrt{36}=6[/tex] in
Circumference of circle=[tex]2\pi r[/tex]
Using the formula
Circumference of circle=[tex]2\pi (6)=12\pi in[/tex]
Hence, the circumference of circle=[tex]12\pi in[/tex]
Write your own problem that would give the following answer:
(3a^3r^6)/
(2p^5)
Your problem must: contain 4 different variables (letters), require the use of at least 4 different exponent
properties to simplify, and use at least one number bigger than 12.
Once you come up with your problem write it below, then include the steps showing that it simplifies down
to the given expression. Once finished, write a paragraph explaining your thought process on how you
came up with your problem and which exponent properties are used to simplify it.
Answers
Answer:
i don't know but good luck with that
Step-by-step explanation:
sorry
PLEASE HELP I SUCK AT MATH
Answers
Answer:
wouldent that be C?
Step-by-step explanation:
2 points
A phone store is having a sale for 40% off. If a mobile phone has a sale
price of $180, what was the original price?"
S200
$280
$300
$320
Answers
in a school,7÷16of the students are girls. what fraction of the students are boys?
[tex]ln \: a \: school \: \frac{7}{16} of the \: students \: are \: girl \: what \: fraction \: of \: the \: students \: are \: boy[/tex]
Answers
Answer:
9/16
Step-by-step explanation:
I NEED THIS FONE ASAP HELP!!!!!
Answers
Write the equation of a line that is perpendicular to the given line and that passes through the given
point.
y=
-(4,-3)
Answers
Answer:
hopes this helps
Step-by-step explanation:
First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.
Write the slope intercept form of the graph. I will give brainliest
Answers
Answer:
Step-by-step explanation:
(0,3) (3, 5)
(5-3)/(3-0)= 2/3
y - 3 = 2/3(x - 0)
y - 3 = 2/3x - 0
y = 2/3x + 3
which number line shows the solution to the inequality
5x + 3 ≥ - 17?
Answers
Answer:
C.
Step-by-step explanation:
A members - only speaker series allows people to join for $7 and then pay $3 for every event attended. Write an equation in slope intercept form that shows the relationship between the number of events x and the total cost y
Answers
help, need instant answer will mark brainliest.
Answers
Answer:
Step 1 is incorrect
3x +15= 2x+35
Answer: step 2
Step-by-step explanation:
Cuz the opposite of addition is subtraction so they should ve subtracted -2x from both sides and not add.
30 times 40 divided by 5
Answers
Answer:
240 is the awnser hope i helped
Step-by-step explanation:
James has one 10p coin, one 50p coin and some 20p coins.
Altogether he has £2.00
How many 20p coins does he have?
Answers
Answer:
James has 7 20p coins.
Step-by-step explanation:
£2.00
- 50p
--------------
£1.50
- 10p
--------------
£1.40
--------------
140/20
14/2
7 (20p)
what equation contains the given point ( -3,5)
Answers
Answer:
y = x + 8
Step-by-step explanation:
Answer:
To determine if a point is on a line you can simply subsitute the x and y coordinates into the equation. Another way to solve the problem would be to graph the line and see if it falls on the line. Plugging in will give which is a true statement, so it is on the line.
Step-by-step explanation:
Off the inter net... sorry
What is the median of 5,7,4,9,7,6,4,6
Answers
Answer:
6
Step-by-step explanation:
4,4,5,6,6,7,7,9 line them up from least to greatest then find the middle number
since 2 sixes are in the middle add them together and divide by 2 normally but these numbers are equal so the median is 6
Answer below ↓
Mean x¯¯¯ 6
Median x˜ 6
Mode 7, 4, 6
Hope this helps
Can someone help me?
Need to find the measure of p, IJ, KJ
Answers
Answer:
[tex]IJ=KJ=15[/tex]
Step-by-step explanation:
[tex]HIJ=HJK\\4p+3=3p+6\\p=3\\IJ=KJ=3*3+6=15[/tex]
EXPERTS!!! PLEASE HELP
Answers
Answer:
32, 47, x+17, 43
Step-by-step explanation:
just add or subtract by 17
What is the value of z?
=
Answers
Answer:
[tex]z=133/6[/tex]
Step-by-step explanation:
All angles in a triangle added up are equal to 180 degrees.
We can make the equation:
[tex]2z+4z+47=180\\6z+47=180\\6z=133\\z=133/6[/tex]
Answer:
Step-by-step explanation:
We have 3 angles, 2z, 4z, 42
the sum of these angles equal to 180
2z+4z+42=180
6z=180-42
6z=138
z=138/6=23
z=23
A car drives 160 km in 2 hours.
What is the average speed of the car?
Answers
Answer:
The car travelled an average speed of 80 km/h.
Step-by-step explanation:
Distance travelled by the car = 160 km
Time taken by the car = 2 hours.
Average speed =?
Average speed = Distance/Time
Average speed = 160/2
Average speed = 80 km/h
The car travelled an average speed of 80 km/h.
.
The maximum marks of each subject are 150. A student scores 80% in Maths. In English, he scores 70% of his
score in Maths and in
Hindi, he scores 75% of his score in English. Find his score in each subject.
Answers
Answer:
Maths = 120
English = 84
Hindi = 63
Step-by-step explanation:
First, solve for Maths since the others require that answer.
Using decimals, 80% of 150 can be written as 0.8 x 150 = x (where x is 80% of 150).
0.8 x 150 = x
120 = x
Since you know the score for maths, you can find the score for english, which is 70% of 120.
0.7 x 120 = y
84 = y
Since you now have the score for English too, that can be used to find the score for Hindi, which is 75% of the English score (84)
0.75 x 84 = z
63 = z
Which of the following could be the side measures of a right triangle?
Answers
Answer:
c
Step-by-step explanation:
if you use the Pythagorean Theorem and take the sum of the square of the legs, it will equal the square of the hypotenuse in answer (c)
8² + 6² = 10²
64 + 36 = 100
100 = 100
Answer:
Step-by-step explanation:
C
how does the system y=3x+5 and y=3x-7 not have a solution?
Answers
Mississippi has the lowest median income at 40.6 thousand dollars. Mississippi also has about 207 bachelor’s degrees per 1,000 people. What does the linear model estimate for the number of bachelor’s degrees per 1,000 people for Mississippi based on the median income? How good is this estimate?
Answers
Answer:
178
Step-by-step explanation:
Answer:
178
Step-by-step explanation:
I answered this so the other girl* can get the brainliest he deserves.
Which has a larger surface area a prism or a cylinder? Explain
Answers
Answer:
A prism is a solid figure that has two parallel congruent sides that are called bases that are connected by the lateral faces that are parallelograms. ... A cylinder is a tube and is composed of two parallel congruent circles and a rectangle which base is the circumference of the circle.
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
Find the value of x that makes the quadrilateral a parallelogram.
3x + 5
5x - 9
X =
Answers
Answer:
3x+5=5x-9(llgram oppositesides are equal)
3x-5x= -9-5
-2x=-14
x= -14/-2
x=7
Answer: x=7
Step-by-step explanation:
both the sides have to be equal.
3x+5=5x-9
2x=14
x=7