Which of the following describes the translation of the graph of y = x 2 to obtain the graph of y = -x 2 - 3?
1 answer:
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Given:
The equation of a line is:
The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:
For ,
For ,
Divide both sides by 2.
The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then
Using this rule, we get
Similarly,
The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:
Multiply both sides by 2.
Therefore, the equation of the line after the dilation is .
For sake of convenience, mark one column in increasing order,then mark both the values on their corresponding axes (as shown in the pic.)
After examining the Scatter Plot, we can say that there is a correlation between two variables like, they are proportional to each other and shows linear function.
After examining the Scatter Plot, we can say that there is a correlation between two variables like, they are proportional to each other and shows linear function.