SOLUTION: How does the graph of the quadratic function or the absolute value function change if you subtract something from them?

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Question 60810: How does the graph of the quadratic function or the absolute value function change if you subtract something from them?
Answer by funmath(2873) About Me  (Show Source):
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How does the graph of the quadratic function or the absolute value function change if you subtract something from them?
They cause a vertical shift down that many units.
y=x^2 and y=x^2-3 are graphed below the -3 caused a vertical shift down 3 units
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2%2Cx%5E2-3%29
Y=|x| and y=|x|-3 are graphed below and the -3 caused the same vertical shift down three units.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%2Cabs%28x%29-3%29
:
When the 3 is subtracted from the x it causes a horizontal shift to the right three units.
y=x^2 and y=(x-3)^2 are graphed below.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2%2C%28x-3%29%5E2%29
y=|x| and y=|x-3| are graphed below.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%2Cabs%28x-3%29%29
Happy Calculating!!!