SOLUTION: still don't understand how to do these two problems HELP y = 4x - 2 shift down 3 and right 2 ???????????????????? y = -1/2x^2-2 shift left 4 and widen by 2 need to grpah fi

Algebra ->  Rational-functions -> SOLUTION: still don't understand how to do these two problems HELP y = 4x - 2 shift down 3 and right 2 ???????????????????? y = -1/2x^2-2 shift left 4 and widen by 2 need to grpah fi      Log On


   

Question 91449: still don't understand how to do these two problems
HELP
y = 4x - 2 shift down 3 and right 2 ????????????????????
y = -1/2x^2-2 shift left 4 and widen by 2
need to grpah first equation and new one
THANKS
llo
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y = 4x - 2 shift down 3 and right 2
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To move the graph 2 to the right replace x by x-2
y = 4(x-2) -1
To then move the graph down 3 subtract 3 from the right side
y = 4(x-2) -1 -3
Final result: y = 4(x-2)-4
or y = 4x-12
Here are graphs of the original and the final result:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C4x-2%2C4x-12%29
Since the graphs are lines you do not see the shift to the right;
you only see the combination of the two changes.
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y = -1/2x^2-2 shift left 4 and widen by 2
To shift left 4 replace x by x+4 giving you
y = (-1/2)(x+4)^2 - 2
To widen by 2 multiply the variable term (1/2) giving you:
y = (-1/4)(x+4)^2 - 2
Here are graphs of the original and the final result:

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Cheers,
Stan H.