SOLUTION: Let f(x)=−3x. The graph of f(x)is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
What is the equation for g(x)?
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-> SOLUTION: Let f(x)=−3x. The graph of f(x)is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
What is the equation for g(x)?
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Question 1188374: Let f(x)=−3x. The graph of f(x)is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
What is the equation for g(x)? Answer by ikleyn(52814) (Show Source):
You can put this solution on YOUR website! .
Let f(x)=−3x. The graph of f(x)is transformed into the graph of g(x) by a vertical stretch
of 4 units and a translation of 4 units right. What is the equation for g(x)?
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The new function g(x) is
g(x) = 4*f(x-4) = 4*(-3(x-4)) = -12*(x-4). ANSWER
I multiply f(x) by 4 to provide vertical stretch of 4 units, and I replace the argument "x" of the function f(x)
by (x-4) to translate the plot 4 units right.
Solved and explained.
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comment from student : Thank you! One question. Since it's translating to
the right, wouldn't it be -12 (x+4) though ?
My response : NO.
It is a common MISTAKE to think that moving plot 4 units right requires using (x+4)
instead of x. With such level of knowledge the LOW SCORE is GUARANTEED.
The correct rule is EXACTLY as it is stated in my post.
