If f(x) = x is changed to g(x) = -f(x + 3) + 2, how is the graph transformed?
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Answer:
y = -2x + 9
Step-by-step explanation:
The parallel line has an equation of y = -2x + 7;
And its slope is -2.
The slope of the line that passes through (4,1) is also -2 since parallel lines have the same slope.
Taking another point (x,y) on the line that passes through (4,1):
slope(m) = change in y ÷ change in x
-2 =
Cross multiplying gives;
y - 1 = -2x + 8
y = -2x + 9