macylen3900
27.07.2020 •
Mathematics
What effect will replacing x with (x+7) have on the graph of the equation y=x^2?
A. slides the graph 7 units down
B. slides the graph 7 units right
C. shrinks the graph by a factor of 7
D. Slides the graph 7 units left
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Ответ:
D
Step-by-step explanation:
Solution:-
- The given question pertains to the translation of a function f ( x ) over the cartesian coordinate system.
- There are certain guidelines that must be followed when performing any translations of any function f ( x ).
Translation Guideline
Vertical shifts
Up: f ( x ) - > f ( x ) + bDown: f ( x ) - > f ( x ) - bHorizontal shifts
Left: f ( x ) - > f ( x + a ) Right: f ( x ) - > f ( x - a )Where, " a " and " b " are constants for respective horizontal and vertical shifts.
- We can make a generalized form of the translated function f ( x ) to f* ( x ) as follows:
Generalized shift: f ( x ) - > f ( x ± a ) ± b
Where, a: Unit of horizontal shift
b: Unit of vertical shift
- We are given a function f ( x ) defined. We are to replace the variable ( x ) with ( x + 7 ).
- Use the above given guidelines to determine the type of shift. Take a look at the Left shift in the horizontal shift section.
- Left shift : f ( x ) -> f ( x + a ) = f ( x + 7 )
The function f ( x ) is slided a = 7 units to the left!
Ответ:
1. When given a raw score, it must be converted into a z-score (standard score). Raw scores cannot be placed on a normal distribution curve because they do not have the same means and standard deviations, but when it is converted into a z-score, the number of standard deviations above or below the population mean can be measured. The z-scores on the center are average, the scores on the left are lower than average and the scores on the right are higher than average.
2. A z-score is a standard score which can be placed on a normal distribution curve. A z-score indicates the distance of the standard deviations from the mean (center of the curve).