Answer:
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Step-by-step explanation:
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Answer:
The graph x² has been translated by a vector of [tex]\left(\begin{array}{cc}0\\4\end{array}\right)[/tex].
Step-by-step explanation:
Note: I have attached a picture of how both graphs look like for reference with the red being y = x² and blue being y=x²+4
In these two graphs, the y-intercept has changed, where in y=x², the intercept is 0 and in y=x²+4, the intercept is 4.
As the x value has not been altered, this means that the y value has been translated up by 4.
Remember in a vector, we write it as a column such as this: [tex]\left(\begin{array}{cc}x\\y\end{array}\right)[/tex]
The top value is the change in x where positive or negative (right or left respectively), and the bottom value for change is y where positive and negative (up or down respectively).
Since the y has been only translated by 4 we now can write is as this: [tex]\left(\begin{array}{cc}0\\4\end{array}\right)[/tex]
This means the graph x² has been translated by a vector of [tex]\left(\begin{array}{cc}0\\4\end{array}\right)[/tex].
Hope this helps!!!
