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Let's graph the equation:
Which is the red graph shown below. As you can see this is the pattern of the Absolute Value Function. In order to translate this graph 14 units up, let's add 14 to . In doing so we get the new function:
So we get a new graph which is the blue one. In order to prove that this is the correct translation, let's take the vertex of the red graph which is the origin. To translate this graph 14 units up implies that each point is shifted 14 units up, so for the vertex of the red graph:
So the new vertex matches the vertex of the blue graph. Finally, the equation for the translation of 14 units up is
Horizontal and vertical shift: brainly.com/question/13774447#
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You can plot a linear equation, if you are given the coordinates and the slope for THE SAME line.
Assuming you have those, the first step is to find the y-intercept.
That is done by replacing and
in the general formula by their coordinated counterparts, and replacing
by the slope that is given to you.
Let's assume the coordinates you are given are , and the slope you are given is 1.
By substituting into the general formula...
...we can see that it is possible to find the y-intercept ().
Knowing the y-intercept, it is possible to plot the line and solve any question.
I'll leave a picture of the example used above when graphed.
