Graphing Square Root Functions

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What is the general form of a square root function?

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How does the value of 'a' affect the graph of a square root function?

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The value of 'a' affects the vertical stretch or compression of the graph. If 'a' is positive, the graph opens upwards; if 'a' is negative, it opens downwards.

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What does the value 'h' represent in the square root function?

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The value 'h' represents the horizontal shift of the graph. If 'h' is positive, the graph shifts to the right; if 'h' is negative, it shifts to the left.

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What does the value 'k' represent in the square root function?

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The value 'k' represents the vertical shift of the graph. If 'k' is positive, the graph shifts up; if 'k' is negative, it shifts down.

Front

How do you determine the domain of a square root function?

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The domain of a square root function is determined by the expression under the square root. Set the expression greater than or equal to zero and solve for x.

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Front

What is the effect of adding a constant outside the square root function?

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What is the effect of subtracting a constant outside the square root function?

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