Compare to the graph f(x)=x^2 the graph of g(x)=(x-2)+3 is the result of translating f(x) 1.2 units up 3 units to the right
2. 2 units down and 3 units up
3. 2 units right and 3 units up
4 2 units left and 3 units right
Answers
Answer:
i believe it is 4 but i'm not so sure
Step-by-step explanation:
:)
Final answer:
The graph of g(x)=(x-2)^2+3 compared to the graph of f(x)=x^2 is translated 2 units to the right and 3 units upwards.
Explanation:
To understand the transformation of graphs in mathematical terms, consider the initial function f(x) = x^2. The transition to the new function g(x)=(x-2)^2+3 is a result of a shift or translation of the graph. This transformation behaves as per the following rule: g(x) = f(x-h)+k where 'h' units is the horizontal displacement and 'k' units is the vertical displacement.
In the function g(x), x shifts two units to the right (as indicated by (x-2)) and three units upward (as indicated by +3).
So, the correct answer is 2 units right and 3 units up.
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Don’t understand please help
Marie is reading a 271-page book. She has already read 119 pages. She uses the equation 119+8h=271 to find out how long it will take her to finish the book if she reads at about 8 pages per hour.Solve for h.
1. An equation is shown below.3 (x-2) + 7x= 1/2(6x-2)How many solutions, if any, does the equation have?
Answers
Answer:
34.64 ft
Step-by-step explanation:
Distance from the building = 20 ft
Angle of inclination = π/3 radians
The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:
The building is 34.64 ft tall
8x=4x−32
A)x = 8
B)x = 4
C) x=−4
D) x=−8
Answers
Answer:
x=-8
Step-by-step explanation:
i took the quiz
Answerd
Step-by-step explanation:
opened.
B. The amount of money in a bank account never changes
C. The amount of water in a cup decreases as it evaporates
D. A flower slowly grows taller
Answers
Answer:B the amount of money in a bank account never changes.
Step-by-step explanation:
Answer:
B. The amount of money in a bank account never changes.
Step-by-step explanation:
Equilibrium is achieved when the state of a reversible reaction of opposing forces cancel each other out. While in a state of equilibrium, the competing influences are balanced out. Imagine a cup with a hole in it being filled with water from a tap. The level of water in this cup would stay the same if the rate at which the water that flows inside is the same as the water that flows outside. Option B will be the correct answer because the amount of money going into the account is at the same rate of money coming out of the account.
Answers
Answer:
-10, 40, -240, 1,920 and -19, 200
Step-by-step explanation:
Given the recurrence relation of the sequence defined as aₙ₊₁ = -2naₙ for n = 1, 2, 3... where a₁ = 5, to get the first five terms of the sequence, we will find the values for when n = 1 to n =5.
when n= 1;
aₙ₊₁ = -2naₙ
a₁₊₁ = -2(1)a₁
a₂ = -2(1)(5)
a₂ = -10
when n = 2;
a₂₊₁ = -2(2)a₂
a₃ = -2(2)(-10)
a₃ = 40
when n = 3;
a₃₊₁ = -2(3)a₃
a₄ = -2(3)(40)
a₄ = -240
when n= 4;
a₄₊₁ = -2(4)a₄
a₅ = -2(4)(-240)
a₅ = 1,920
when n = 5;
a₅₊₁ = -2(5)a₅
a₆ = -2(5)(1920)
a₆ = -19,200
Hence, the first five terms of the sequence is -10, 40, -240, 1,920 and -19, 200
Answers
Answers
The common difference of the given A.P. is -2.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is an arithmetic sequence?
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The nth term of an A.P. is given by -
a[n] = a + (n - 1)d
We have the following sequence 10, 8, 6, 4, ... .
We have -
10, 8, 6, 4, ...
The common difference of the given A.P. is -
d = 8 - 10 = 6 - 8 = 4 - 6
d = - 2
Therefore, the common difference of the given A.P. is -2.
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Answer:
-2
Step-by-step explanation:
10-8=2
8-6=2
6-4=2
4-2=2