Question 48464: if the point (-3,8) is on the graph of f(x), find the point on the graph of each of the following
1. y=-3f(x-2)
2. y= f(3x)-3
3. y= 1/4f(1/3x)
4. y= -2f(x+4)+3
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! if the point (-3,8) is on the graph of f(x), find the point on the graph of each of the following
1. y=-3f(x-2)
The (x-2) moves the point "2" to the right.
The -3 multiplies the y value by -3.
Then (-3,8) will move to (-1,-24)
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2. y= f(3x)-3
The 3 of 3x will multiply the x-value of the point by (1/3).
The -3 will lower the y-value by 3.
Then (-3,8) will move to (-1,5)
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3. y= 1/4f(1/3x)-value by
The (1/3) will multiply the x-value by 3.
The (1/4) will multiply the y-value by (1/4)
Then (-3,8) will move to (-9,2)
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4. y= -2f(x+4)+3
The 4 moves subtracts 4 from the x-value.
The -2 multiplies the y-value by -2
The 3 adds 3 to the y-value.
Then (-3,8) will move to (-7,-13)
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Cheers,
Stan H.
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