Question 296774
Use the graph of 
f(x)=sqrt(x) to sketch the graph of:
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Graph of f(x) = sqrt(x)
{{{graph(400,300,-5,20,-5,10,x^(1/2))}}}
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a. y=f(x-1)
Moves every point of the graph 1 unit to the right.
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Graph of f(x) = sqrt(x-1)
{{{graph(400,300,-5,20,-5,10,(x-1)^(1/2))}}}
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b. y=-f(x)+3
The negative reflects f(x)=sqrt(x) in the x axis.
The 3 translates every point of f(x)= -sqrt(x) 3 units up.
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The resulting graph is:
{{{graph(400,300,-5,20,-10,20,-x^(1/2)+3)}}}
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Cheers,
Stan H.
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