graphs of square root functions and transformation

Front

What is the parent function of a square root function?

Back

y = √x

Front

Which points are on the parent function y = √x?

Back

(0,0), (1,1), (4,2) are on the parent function; (2,4) is not.

Front

What is the domain of the parent square root function y = √x?

Back

[0, ∞) or (0, ∞) in interval notation.

Front

What transformation occurs when the function is written as y = √(x - h)?

Back

The graph shifts to the right by h units.

Front

What transformation occurs when the function is written as y = √(x) + k?

Back

The graph shifts up by k units.

Front

What is the range of the parent square root function y = √x?

Back

[0, ∞) or (0, ∞) in interval notation.

Front

How do you find the domain of g(x) = √(x + 5) - 3?

Back

Set the expression inside the square root greater than or equal to zero: x + 5 ≥ 0, so x ≥ -5.

Front

What type of function is y = √x?

Back

It is a square root function.

Front

What is the effect of a negative sign in front of the square root function, such as y = -√x?

Back

The graph reflects over the x-axis.

Front

What is the effect of multiplying the square root function by a positive constant, such as y = a√x?

Back

The graph is vertically stretched if a > 1 and compressed if 0 < a < 1.