The equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Given a quadratic function for the transformations given the function f(x) = x²
If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value
- Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)
Hence the equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
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Answer:
You mean thousandths?
It’s 1.891
Step-by-step explanation:
The thousandths place is the 3rd digit to the right of the decimal. 5-4=1
Answer: Choice C
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Explanation:
There are four marked points on the line.
Each point is of the form (x,y)
- The first or left most point is (0,1)
- The second point is (2,2)
- The third is (4,3)
- The fourth is (6,4)
Each of these points is then listed in the table format as shown above.
There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).
Extra side notes:
- The slope of this line is m = 1/2 = 0.5
- The y intercept is 1 located at (0,1)
- The equation of this line is y = 0.5x+1
90 = 30+10+3x
This equation shows that all the prices of the the bag, eraser, and pencils equals $90. So now all we have to do to find the price of a pencil is solve the equation.
First add the 30 and 10 together.
90 = 40+3x
Then subtract 40 from each side
50 = 3x
Lastly divide each side by 3
x = 16.67
The price per pencil is $16.67
Hope this helps!
In(xy) = e^(x+y)
(xy)'/xy = (x+y)' e^(x+y)
(x'y + xy')/xy = (1+y') e^(x+y)
(y + xy')/xy = (1+y')e^(x+y) and simplify
Hope this helps
