Square Root Functions

Front

What is the parent function of square root functions?

Back

f(x) = \sqrt{x}

Front

What does the graph of the function y = \sqrt{x} look like?

Back

It is a curve that starts at the origin (0,0) and increases gradually to the right.

Front

What transformation does the equation y = \sqrt{x} + 2 represent?

Back

A vertical shift upwards by 2 units.

Front

What transformation does the equation y = -\sqrt{x} represent?

Back

A reflection over the x-axis.

Front

What does the equation y = 2\sqrt{x} represent in terms of transformations?

Back

A vertical stretch by a factor of 2.

Front

How does the equation y = \sqrt{x - 3} affect the graph of y = \sqrt{x}?

Back

It shifts the graph to the right by 3 units.

Front

What is the effect of the negative sign in the equation y = -\sqrt{x - 4}?

Back

It reflects the graph over the x-axis and shifts it right by 4 units.

Front

What does the equation y = \sqrt{x + 1} - 3 represent?

Back

A shift left by 1 unit and down by 3 units.

Front

What is the domain of the function y = \sqrt{x - 2}?

Back

The domain is x ≥ 2.

Front

What is the range of the function y = \sqrt{x}?

Back

The range is y ≥ 0.