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If f(x) = −2x − 4 and g(x) = −2x + 2, which statement about the graphs of f and g is true?
A. g is a translation of f 6 units down.
B. g is a translation of f 2 units to the right.
C. g is a translation of f 2 units to the left.
D. g is a translation of f 6 units up.

Answer :

D

The steepness (slope) is the same for both equations, but the lines cross the y axis at different points.

f(x) crosses the y axis at -4 while g(x) crosses the y axis at 2. If you counted on a graph, that is a difference of 6 units, so D is correct