The graphs below have the same shape. What is the equation of the blue
graph?
f(x) = x²
g(x) = ?
A. g(x) = (x - 3)2 + 1
B. g(x) = (x + 3)2 + 1
C. g(x) = (x - 3)2 - 1
O D. g(x) = (x + 3)2 - 1
Answers
The correct answer is A. g(x)=(x-3)^2+1
The equation of the blue graph is g(x) = (x - 3)² + 1.
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Since the graphs of f(x) and g(x) intersect at (1.5, 2.5), we can substitute these values into the equations and solve for the constant term:
f(1.5) = g(1.5)
1.5² = g(1.5)
2.25 = g(1.5)
Therefore, we know that the vertex of g(x) is (1.5, 2.25).
Also, since the graphs have the same shape, we know that the vertex of g(x) is obtained by shifting the vertex of f(x) horizontally by the same amount, which is 3 units to the right.
So, the equation of the blue graph can be obtained by replacing x with (x-3) in the equation of the green graph:
g(x) = (x - 3)² + 1
Expanding this equation, we get:
g(x) = x² - 6x + 9 + 1
g(x) = x² - 6x + 10
g(x) = x² - 2 x 3x + 9 + 1
g(x) = (x - 3)² + 1
Therefore,
The equation of the blue graph is g(x) = (x - 3)² + 1.
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Related Questions
Need help for this one!
Answers
If you have (-2 ; 3) that means x = -2 and y = 3 so:
(-2+3 ; 3-5) = (1 ; -2)
Will give brainliest!!
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Answer:
its 5 hours i think
Step-by-step explanation:
1) Integers get bigger the further left they are located on a number line.
True
False
I need help!!!!!!!
Answers
Answer:
False
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
The left of the number line is the domain of negative numbers. As you go left on the number line, the integers are smaller.
I NEED HELP IMMEDIATELY
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Answer:
Between 80 and 160
Step-by-step explanation:
this is such a bad graph i honestly could not give you an exact answer
factorise this equation 12ax+8bx
Answers
Answer:
4x(3a+2b)
Step-by-step explanation:
Answer:
4x(3a+2b)
Step-by-step explanation:
Given: 12x+8bx
Factor out x: x(12a+8b)
Factor out 4: 4x(3a+2b)
I need help (x^2 +3) ÷ (x-1)
Answers
Answer:
[tex]x + 1 + \frac{4}{x - 1} [/tex]
Drag and drop each number to its correct position on the number line.
PLEASE HELP!
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Answer:
where is the numberline miss
Answer:
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:-(((
Josslyn needs to earn at least $420 a week during her summer break to pay for college. She works two jobs, one at a restaurant that pays $18 an hour and the other tutoring for $16.50 per hour.
Let x be the number of hours she works at the restaurant and let y be the number of hours she works tutoring. Write an inequality that models this situation.
Answers
Answer:
x+y[tex]\geq[/tex]420
18x+16.50y[tex]\geq[/tex]420
Step-by-step explanation:
Answer:
18x + 16.50y ≥ 420
Step-by-step explanation:
help me! : (x^3 - 7x^2 - 7x + 20) ÷ ( x+4)
Answers
Answer:
[tex] {x}^{2} - 11x + 37 - \frac{128}{x + 4} [/tex]
What is special about y coordinate that goes with the x coordinate of 1on a proportional gragh
Answers
Answer:
The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If tou remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.
Step-by-step explanation:
I majored in Mathematics
5m+ 4 -m + 3/5 - 15m
Answers
Final [tex]-11m + \frac{23}{5}[/tex]
Steps/Reasons/Explanation:
Question: Solve [tex]5m + 4 - m + \frac{3}{5} - 15[/tex].
Step 1: Collect like terms.
[tex](5m - m - 15m) + (4 + \frac{3}{5})[/tex]
Step 2: Simplify.
[tex]-11m + \frac{23}{5}[/tex]
~I hope I helped you :)~
What is the slope of the line y=3
A. 3
B. -3
C. 0
D. Undefined
Answers
Answer:
0
Step-by-step explanation:
Slope is the rise (change in y) over the run (change in x).
y=3 is simply a horizontal line.
hope this helps!
A druggist has two mixtures of a certain chemical and water, one containing 10% of the chemical and the other containing 40% of the chemical. How much of each mixture should he use to make 10 ounces that contain 25% of the chemical? How many ounces of chemical are in the final mixture? 1 2.5 7.5
Answers
0.10x + 0.40(10 - x) = 0.25(10)
The value of x is 5. Hence, the druggist should mix 5 ounces of each. There are 2.5 ounces of chemical in the final mixture.
Answer:
the answer is= 2.5
Step-by-step explanation:
good luck!
Helpppppppppppppppppppppplppoollooppp
Answers
Answer:
I wouldn't advise putting answers from test on brainly its against the honor of code and you will get warned.
Step-by-step explanation:
If I do my maths homework at a rate of 1.6 questions per minute, it will take me 47 minutes to complete. What rate is needed to complete it in 34 minutes?
Give your answer correct to 1 decimal place.
Answers
Answer:
Step-by-step explanation:
reqd. rate=(1.6)×47÷34≈2.2 questions per minute.
The required rate to complete the question in 34 minutes is given as 2.2 questions per minute.
What is the rate of change?Rate of change is defined as the change in value with rest to the time is called rate of change.
As mentioned in the question, in homework rate of doing questions is 1.6 questions per minute.
It took 47 minutes to complete the whole expression,
Total questions in the homework given by,
Total question = rate × time
Total question = 1.6 × 47
Total questions ≈ 75 questions
Now,
If the time to complete the question is 34 minutes, the rate required is given by,
Rate = total question/time
Rate = 75/34
rate = 2.2 questions per minute.
Thus, the required rate to complete the question in 34 minutes is given as 2.2 questions per minute.
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I really really really really need help 9(7)/3
Answers
Answer:
21
Step-by-step explanation:
9*7 is 63 divided by 3 should get you 21.
Answer:
21
Step-by-step explanation:
50!!! Points Paul needs 27 plants to fill his garden and has $99 to
spend. Lilies cost $5 each and tulips cost $2 each. Which
system represents the number of lilies (1) and tulips (t)
Paul can buy?
Answers
[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct .}}}[/tex]
Step-by-step explanation:Given that , Paul needs 27 plants to fill his garden and has $99 to spend. Lilies cost $5 each and tulips cost $2 each.
Tulips are represented by t .Lilies are represented by l .Now we need to find which set of linear equations represent the above situation. So ,
Sum of number of lilies and tulips is 27 .
[tex]\implies \bf n( Tulips) + n(Lilies ) = 27 \\\\\bf\implies \boxed{ \bf l + t = 27 }[/tex]
Now , cost of each lily is $5 and tulip is $2 . And he has $99 in total . So ,
[tex]\bf\implies n_{tulips} \times cost_{tulip} + n_{lilies} \times cost_{lilies} = Money \ that \ Paul \ has. \\\\\bf \implies t\times \$2 + l \times \$5 = \$ 99 \\\\\implies \boxed{\bf 2t + 5l =\$ 99 }[/tex]
Hence we can see that our ans matches with option (a) which is ,
[tex]\red{\bf Option \ A}\begin{cases} \bf l + t = 27 \\\\\bf 2t + 5l = 99 \end{cases}[/tex]
Hence option (A) is correct .Best and Correct answer gets Brainliest!!!
Answers
Answer:
Line A
Step-by-step explanation:
Line A crosses 5 at y when it hits 1 at x, meaning that constant of proportionality is 5. Trust me ; D.
which steps show how to use the distributive property to evaluate 5x58
Answers
Answer: 5 x 58 = 290 :)
Step-by-step explanation:
simplify -8z^8+(-14z^8)
Answers
Answer:
-22x^8
Step-by-step explanation:
-8z^8 + (-14z^8)
z^8 = z^8
-8 - 14 = -22
-22z^8
Helppp I’ll mark brainliest
Answers
Answer:
a
Step-by-step explanation:
keep change flip so 9/10 x 5/2 =45/20 and simplified is 2 1/4
A. because 9×5 =45 and 10×2=20 =45/20 we simplify and 9/4 and still simplify then 2 1/4 is the answer
The map below shows the locations of the houses of Maria Reese and Paul.what are the coordinates of Steve's house who lives 2 miles form Paul and 1 mile form Reese. Please help
Answers
Answer:
Coordinates of Steve's House are S (3,2)
The required coordinate of the Steves's house is (3,2).
The map below shows the locations of the houses of Maria Reese and Paul, coordinates of Steve's house who lives 2 miles from Paul and 1 mile from Reese is to be determined.
Coordinate, is represented as the values on the x-axis and y-axis of the graph
Here,
Since Steve's house lives 2 miles from Paul's, So the Y coordinate of Steve's house will raise to 2 more than the Y coordinate of Paul, So Y = 0 + 2 = 2
Now, Steve's house lives 1 mile from Reese x coordinate of Steve's house will raise to 1 more than the x coordinate of Reese, So X = 2 + 1 = 3
Thus, the required coordinate of the Steves's house is (3,2).
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Happy new year,
add 2000 + 21 = 2021
trying to be fun and creative.
Answers
HAPPY NEW YEAR:)
not only today
always be fun and creative
Answer:
2000+21=2021
its a very cool thing u got inur mind!!
6,6,5,5, 4, 7,4,8, 4, 6, 5, 7,8
Find the modes of this data set.
what’s the mode?
Answers
Answer: 6, 5, 4
Step-by-step explanation:
The mode is the number that you see the most. 6, 5, and 4 appear 3 times in the set.
Answer:
6,5,4
Step-by-step explanation:
the all tie in repeating 3 times. The mode is what repeats the most. since 6,5,4 all repeats 3 times they tie for mode.
please help me wth this
Answers
On a box-and-whisker plot, what does line segment 2 represent?
a. minimum value
b. maximum
c. first quartile
d. third quartile
Answers
Answer:
first quartile c number option is the correct answer
Hey guys im board if u answer on my last question and on this one ill give u brainlyiest
Answers
Answer:
cool
Step-by-step explanation:
Could someone help with me his before I go to sleep and I hope when I wake up the answer is here pls
Answers
5x + 7 (-7) = 2x + 6 (-7)
What property is being shown above?
O Multiplication Property of Equality
Division Property of Equality
O Addition Property of Equality
Subtraction Property of Equality
Answers
Answer:
so sorry i had too
Step-by-step explanation:
someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Which is equivalent to 10(-2 2/5)
Answers
The equivalent expression is,
⇒ - 24
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 10 (- 2 2/5)
Now,
Since, The expression is,
⇒ 10 (- 2 2/5)
Solve as;
⇒ 10 × ( - 12/5)
⇒ - 10 × 12/5
⇒ - 2 × 12
⇒ - 24
Thus, The expression is equivalent to - 24.
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