A jar contains 27 marbles. There are 4 blue marbles and the rest are red. If a marble is chosen at random, what is the likelihoo
1 answer:
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Answer:
The Translation is 5 units to the right and 8 units up
Step-by-step explanation:
* Lets talk about some transformation
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Now lets solve the problem
∵ The parent function is y = (0.5)^x
∵ f(x) = (0.5)^x - 5 + 8 after translation
- The x in the first function is (x - 5) in the second function
∴ There is a horizontal translation to the right 5 units
- the first function is (0.5)^x in the second function y = (0.5)^x - 5 + 8
∴ There is a vertical translation up 8 units
* The Translation is 5 units to the right and 8 units up
- Look to the attached graph to more understand
- The purple graph is y = (0.5)^x
- The black graph is f(x) = (0.5)^x-5 + 8
- To check the answer take a point from the y = (0.5)^x as (0 , 1), the
image of this point on f(x) is (5 , 9)
-The point (0 , 1) is shifted 5 units to the right and 8 units up
∴ Its x- coordinate move from 0 to 5, y- coordinate move from 1 to 9
Answer:
<em>Question 1) </em>
The graph of is attached to the answer.
The graph of such a functio lies in first and third quandrant such that the graph tends to 0 when x→∞ or when x→-∞ and graph tends to ∞ when x→0.
We can also show the values of this equation on a table:
<u> x-values</u> <u> y-values</u>
1/2 4
1 2
2 1
3 2/3
<em>Question 2)</em>
The graph of the equation is attached to the answer.
we will get a upward parabola with this equation whose vetex is: (-1,-4).
The ordered pair on the graph could be shown with the help of a table:
<u>x-values</u> <u> y-values</u>
-1 -4
0 -3
-3 0
1 0
