Using the given information, match the transformed equation from a parent function of [tex]y=x^2[/tex] or [tex]y=x^3[/tex]
Question and choices below:
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Answers
Step-by-step explanation:
The general form for a quadratic or cubic equation is:
y = a (x − h)ⁿ + k
If |a| is between 0 and 1, it's a vertical shrink. If |a| is greater than 1, it's a vertical stretch. If a is negative, there's a reflection over the x-axis.
h is the horizontal translation. If h is positive, there's a translation to the right. If h is negative, there's a translation to the left. (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)
k is the vertical translation. If k is positive, there's a translation up. If k is negative, there's a translation down.
f(x) = (x + 1)³ − 7
f(x) = 1 (x − -1)³ + -7
a = 1, h = -1, k = -7
This is y = x³ translated 1 unit to the left and 7 units down.
g(x) = -½ (x − 2)³
g(x) = -½ (x − 2)³ + 0
a = -½, h = 2, k = 0
This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.
y = -(x − 4)³ − 2
y = -1 (x − 4)³ + -2
a = -1, h = 4, k = -2
This is y³ reflected over the x-axis, translated 4 units right and 2 units down.
Related Questions
What is the slope of the line shown below?
Answers
Answer:
y=-1/5x+3 or slope = -1/5
Step-by-step explanation:
what are the best "never have i ever" questions? please give some good ones! (and don't report!!! i'm giving y'all 50 points ❤️) tysm
Answers
Answer:
never have i ever told my best friends boyfriend that she is cheating on him so i could get with him.../
(she was tho)
Step-by-step explanation:
puts finger down
can someone just please answer my question I rlly need it
Answers
Answer:what is the question?
Step-by-step explanation:what is it?
If cot A is undefined, then A =?
Answers
Answer:
A = 0°
Step-by-step explanation:
[tex] \cot A = undefined \\ \\ \cot A = \cot 0 \degree \\ \\ \huge \red{ \boxed{ A = 0 \degree}} \\ \\ [/tex]
PLEASE HELP!!!!!!! 17 POINTS AND BRAINLIEST
Answers
Answer:
I got c
Step-by-step explanation:
it came out to be a fraction of y=3/2x - 2
Juan's cell phone company charges $35 a month for phone service plus
$0.50 for each text message. How many text messages does Juan send in a
month if his bill was $52?
Answers
Answer:
Juan sends 34 text messages.
Step-by-step explanation:
$52-$35= $17
17 dollars / .50 = 34 messages
Please help me nobody will help me with this please
Answers
Answer:
[tex]24[/tex]
Step-by-step explanation:
Each bottle of water costs $2 so we multipy 12 by 2.
[tex]12[/tex]×[tex]2=24[/tex]
Samson owes his friend
$42.75. If Samson just
got paid $167.25 and
pays back his friend.
How much money will
he have left over?
Answers
HELP PLEASE! i don't understand this well so if someone could please list the answer and an explanation that would be great :)
Answers
Answer: 44 I believe.
Step-by-step explanation: Please mark Brainiest if I'm right.
what is the slope of the line? SOMEONE HELP ME PLSSS
Answers
Jason has a lemonade stand but he already made $26 he charges his customers one dollar per lemonade Kaylee has a lemonade stand where she made $16 and she charges the customers two dollars per lemonade which equation shows the number of lemonade, eggs, Kaylee needs to sell to make a higher profit than Jason. A. 26-x<16-2x. B. X+26<2x+16 C. 26+2x>16+x D. 16x+2>26x+1
Answers
Answer: B. X+26<2x+16
Step-by-step explanation:
Let x be the number of lemonade Kaylee needs to sell to make a higher profit than Jason.
Given: Jason has made $26. he charge $1 per lemonade.
Total earnings after x lemonades = $26+($1) x
= $(26+x)
Kaylee has made $16. he charge $2 per lemonade.
Total earnings after x lemonades = $16+($2) x
= $(16+2x)
Required inequality : (16+2x)> (26+x)
i.e. correct option is B.
Elizabeth spins each spinner once.
What is the probability the arrows will land on a consonant and the number 2?
20%
17%
24%
10%
Answers
Answer:
20%
Step-by-step explanation:
The probability the arrows will land on a consonant and the number 2 is, 10%
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Given that;
Elizabeth spins each spinner once.
Hence, Number of outcomes for Alphabets = 5
And, Number of outcomes for numbers = 6
Total consonants are = 3
Thus, The probability the arrows will land on a consonant and the number 2 is,
⇒ 3 / 5 × 1 / 6
⇒ 1 / 10
⇒ 10%
Therefore, The probability the arrows will land on a consonant and the number 2 is, 10%
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Which of the following ordered pair(s) is/are solutions to the following system of
equations?
3x - 5y = 15
5x – 10y = 25
(11,3)
(3. - 1)
(-7,- 6)
All of the above
Answers
Answer:
none of them the correct answer is (x,y) (5,0)
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Answers
Answer:
can you be more specific with your question?
Step-by-step explanation:
As what I understood your question to be
(a-t)^2 -(t + a)
when a is 8, and t is 3
(8-3)^2 - (8+3)
(5)^2- (11)
25- 11
= 14
A web site has more than 30 million active users.
Answers
Answer:
cool
what is the question tho
what is 8+8? IM CRYING PLS. WILL GIVE BRAINLIEST. I DONT KNOW IVE BEEN UP ALL NIGHT STRESSING PLEASE.
Answers
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
8+8=16.
6*4÷12+72÷8-9 ??
pls help ty
Answers
Answer:
2
Step-by-step explanation:
Use BODMAS(bracket, of, division, multiplication, addition and subtraction)
72/8=9
(6*4)=24
24/12+9-9
2+0
=2
The solution for the given operations of numbers is 2.
What is PEMDAS Rule?PEMDAS rule is the same as BODMAS rule.
PEMDAS is the abbreviation for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.
We are using BODMAS rule here to solve the given operations.
6 * 4 ÷ 12 + 72 ÷8 - 9
According to the rule, first we should do multiplication.
6 × 4 = 24
6 * 4 ÷ 12 + 72 ÷8 - 9 = 24 ÷ 12 + 72 ÷8 - 9
Next do the division.
24 ÷ 12 = 2 and 72 ÷8 = 9
24 ÷ 12 + 72 ÷8 - 9 = 2 + 9 - 9
Now do the addition and subtraction.
2 + 9 - 9 = 2
Hence the final answer for the given operation is 2.
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the shop keeper at an inn receives 175 letters a week (7 days). How many letters does he receive in a day
Answers
Answer:
25
Step-by-step explanation:
175 divided by 7 =25
Answer:
25 letters
Step-by-step explanation:
the word problem can be expressed as 175=7x
there are 7 days in a week and you want to find home many there are in one of those days
divide 175 by 7, your answer is 25.
Describe the nature of the roots for the equation
49x2– 28x +4 = 0
Answers
Answer:
The roots of the equation is real and repeated
Step-by-step explanation:
Here, we want to describe the nature of the roots of the given quadratic equation
To get the nature of the roots, we find the discriminant of the equation
The discriminant is;
b^2 - 4ac
In this case, b = -28 , a = 49 and c = 4
The discriminant is thus;
-28^2 - 4(49)(4)
= 784 - 784 = 0
Since the discriminant is zero, this means that the quadratic equation has real roots which are the same
Solve this system of equations by graphing. First graph the equations, and then type the solution. y=2x+2 y=x–2
Answers
Answer:
(-4,-6)
Step-by-step explanation:
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The point of intersection between the two equations is (-4, -6).
The graph is given below.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 6 is an equation.
We have,
y = 2x + 2
y = x - 2
Now,
The point of intersection.
2x + 2 = x - 2
2x - x = -2 - 2
x = -4
Putting in y = 2x + 2
y = 2 x -4 + 2
y = -8 + 2
y = -6
(-4, -6) is the point of intersection.
Now,
The graph of the equation is given below.
Thus,
The point of intersection between the two equations is (-4, -6).
The graph is given below.
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please hellppp i will mark brainliest
Answers
Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.
________ – 5xy3 + 9x2y
0
5xy3
9x2y
8y4
4xy3
Answers
Answer:
Yo The answer is A,C,E or 0, 9x2y, and 4xy3
Step-by-step explanation:
Got it right on Edge. Good luck
Answer: A, C, E
Step-by-step explanation:
(WILL GIVE BRAINLIEST) Solve for x.
-2(-9x+5)-4x=2(x-5)-4
Simplify your answer as much as possible
Answers
Answer:
−2(−9x+5)−4x=2(x−5)−4
Step 1: Simplify both sides of the equation.
−2(−9x+5)−4x=2(x−5)−4
(−2)(−9x)+(−2)(5)+−4x=(2)(x)+(2)(−5)+−4(Distribute)
18x+−10+−4x=2x+−10+−4
(18x+−4x)+(−10)=(2x)+(−10+−4)(Combine Like Terms)
14x+−10=2x+−14
14x−10=2x−14
Step 2: Subtract 2x from both sides.
14x−10−2x=2x−14−2x
12x−10=−14
Step 3: Add 10 to both sides.
12x−10+10=−14+10
12x=−4
Step 4: Divide both sides by 12.
12x
12
=
−4
12
x= -1/3
Step-by-step explanation:
Good luck! Hope this helps! <3
Answer :
[tex]x = - \frac{1}{3} [/tex]
or you can just write x = -0.3
hope this helps!
Why is 25 a composite number? (1 point)
It is odd.
OIt has more than two factors.
O All of its factors are prime numbers.
It is not divisible by any number except one and itself.
Answers
Answer:
it has more than 2 factor
Answer:
I think its b I'm pretty sure
HELP!! THIS WAS DUE AT MIDNIGHT, AND I STILL HAVE ANOTHER ONE THAT WAS DUE AT MIDNIGHT
144 students enter a spelling bee, but only 1/6 of the group will make it into the semi-final round, and only 2/3 of that group will make it into the final round. How many students will enter the final round of the spelling bee?
I know I'm sorry the person that made this problem did a terrible job on wording it. HELP!!!!!!
Answers
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
144 students enter a spelling bee contest.
Step 1
For the semi final round we are told that only 1/6 of the group will make it into that round.
This is calculated as
1/6 × 144/students = 24 students.
This means that only 24 students would make it into the semi final rounds.
Step 2
We are also told in the question that only 2/3 of THAT group would make it into the final round.
" THAT" group been referred to in the question means the number students that made it to the semi final round
This is calculated as
2/3 of that group( the group that made it to the semi finals)
= 2/3 × 24 students
= 16 students.
Therefore, the number of students that will enter the final round of the spelling bee is 16 students.
What is the square root of 1,567?
Answers
Answer:
39.585
Step-by-step explanation:
How many solutions does the equation below have? 2(4x + 10) = 8x+20
Answers
Answer:
There are infinite solutions
Step-by-step explanation:
2 (4x + 10) = 8x + 20
Distribute 2(4x + 10)
8x + 20 = 8x + 20
They equal each other meaning they are infinite solution
Helena ate at his fraviote restaurant he received excellent service from his waitstaff and decided to leave a 22 percent tip before tip his bill came to 60 how much would the meal have cost in total including tip
Answers
Answer:
$73.20
Step-by-step explanation:
original bill: $60
Tip: 22% $13.20
Total: $73.20
Hope this was helpful! Have a great day!
Gabrielle is 7 years younger than Mikhail. The sum of their ages is 41. What is Mikhail's age?
Answers
Determine if the figures below are congruent? Explain why or why not. I need it for a test please answer fast!
Answers
Answer:
Yes they should be congruent ones just at a different angle.
Step-by-step explanation:
