SOLUTION: Two points on the graph of the linear function f are (0,−4) and (2,2). Write a function g whose graph is a reflection in the x-axis of the graph of f.

Algebra ->  Linear-equations -> SOLUTION: Two points on the graph of the linear function f are (0,−4) and (2,2). Write a function g whose graph is a reflection in the x-axis of the graph of f.      Log On


   



Question 1147781: Two points on the graph of the linear function f are (0,−4) and (2,2). Write a function g whose graph is a reflection in the x-axis of the graph of f.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The reflected points are:
( 0, 4 )
( 2, -2 )
The equation is:
+%28+y+-+%28-2%29+%29+%2F+%28+x+-+2+%29+=+%28+4+-%28-2%29+%29+%2F+%28+0+-+2+%29+
++%28+y+-+%28-2%29+%29+%2F+%28+x+-+2+%29+=+6+%2F+%28-2%29+
++%28+y+%2B+2+%29+%2F+%28+x+-+2+%29+=+-3+
+y+%2B+2+=+-3%2A%28+x+-+2+%29+
+y+%2B+2+=+-3x+%2B+6+
+y+=+-3x+%2B+4+ answer
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check:
Here's the equation of +f%28x%29+
( 0, -4 )
( 2, 2 )
+%28+y+-+2+%29+%2F+%28+x+-+2+%29+=+%28+-4+-+2+%29+%2F+%28+0+-+2+%29+
+%28+y+-+2+%29+%2F+%28+x+-+2+%29+=+3+
+y+-+2+=+3%2A%28+x+-+2+%29+
+y+-+2+=+3x+-+6+
+y+=+3x+-4+
----------------------
Here's the plots
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+-3x+%2B+4%2C+3x+-+4+%29+