Which equation represents the function graphed on the coordinate plane? g(x) = |x + 4| – 2 g(x) = |x – 4| – 2 g(x) = |x – 2| – 4
2 answers:
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Answer:
Final graph is attached.
Solution is x=2, y=3
Step-by-step explanation:
As we have to solve by graphing to let's graph y=2x-1 first.
we are free to plug any number for x say x=0 and x=2
when x=0 then y=2x-1 changes to
y=2(0)-1=0-1=-1
Hence point is (0,-1)
Similarly
when x=2 then y=2x-1 changes to
y=2(2)-1=4-1=3
Hence point is (2,3).
Now we graph both points (0,-1) and (2,3) then join them by a straight line.
We repeat exactly same process for other line y=-x+5 and get points (0,5) and (2,3)
Now graph both to see the intersection point of both lines
We see that both lines intersect at point (2,3)
<u>Hence final answer is (2,3) or we can also write x=2, y=3.</u>
