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How do you graph #y = abs[x - 1] + 4#?

Answer 1

Savannah Anderson

Kindly see the explanation for the details

The graph of #y=abs(x-1)# includes the following points

#{(-4, 5), (-3, 4), (-2, 3), (-1, 2), (0, 1), (1, 0), (2, 1), (3, 2), (4, 3), (5, 4),(6, 5)....}#

Now let us elevate this graph up by 4 units so that the points are

#{(-4, 9), (-3, 8), (-2, 7), (-1, 6), (0, 5), (1, 4), (2, 5), (3, 6), (4, 7), (5, 8),(6, 9),....}#

This is the graph of #y=abs(x-1)+4#

God bless....I hope the explanation is useful.

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Answer 2

Kennedy Adams

To graph the equation ( y = |x - 1| + 4 ), plot the vertex at the point (1, 4). Then, use the slope of 1 to draw the two straight-line segments forming a V-shape around the vertex.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.