SOLUTION: How do I find the basic function of: t(x)= -(-1-x)^2 What would this graph look like? Has it been shifted, reflected, stretched or compressed?

Algebra ->  Rational-functions -> SOLUTION: How do I find the basic function of: t(x)= -(-1-x)^2 What would this graph look like? Has it been shifted, reflected, stretched or compressed?      Log On


   

Question 277841: How do I find the basic function of:
t(x)= -(-1-x)^2
What would this graph look like? Has it been shifted, reflected, stretched or compressed?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I find the basic function of:
t(x)= -(-1-x)^2
What would this graph look like? Has it been shifted, reflected, stretched or compressed?
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The basic function is y = x^2
You could simplify t(x) as follows:
t(x) = -(-(x+1))^2
t(x) = -(x+1)^2
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Now you can see the x+1 shifts y= x^2 one unit to the left.
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The negative sign reflects y=(x+1)^2 in the x-axis.
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You end up with an upside-down parabola that was shifted one unit to the left:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-%28-1-x%29%5E2%29
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Cheers,
Stan H.