SOLUTION: the question is: if we begin a graph of f(x)=the square root of x, shift 4 units to the right, shrink vertically by a factor of 1/2 , and shift upward 10 units, write an equation

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the question is: if we begin a graph of f(x)=the square root of x, shift 4 units to the right, shrink vertically by a factor of 1/2 , and shift upward 10 units, write an equation       Log On

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Question 204995: the question is: if we begin a graph of f(x)=the square root of x, shift 4 units to the right, shrink vertically by a factor of 1/2 , and shift upward 10 units, write an equation for the transformed graph.
so far I have:
(the square root of x)- 4(four units to the right) + 10( 10 units upwards)
I do not know how to do with the part that says shrink vertically by 1/2
Answer by stanbon(48568) About Me  (Show Source):
You can put this solution on YOUR website!
The question is: if we begin a graph of f(x)=the square root of x,
y = sqrt(x)
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shift 4 units to the right,
y = sqrt(x-4)
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shrink vertically by a factor of 1/2
y = (1/2)sqrt(x-4)
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, and shift upward 10 units,
y = (1/2)sqrt(x-4)+ 10
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Cheers,
Stan H.
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