Square Root Graphs

Front

What is the range of the square root function?

Back

y ≥ 0

Front

What is the parent function of square root graphs?

Back

Square root function

Front

What transformation occurs when a graph is reflected over the x-axis?

Back

The output values (y-values) are negated.

Front

What does it mean to shift a graph to the right by 5 units?

Back

Every point on the graph moves 5 units to the right.

Front

What is the effect of a vertical stretch on a square root graph?

Back

The graph becomes steeper, stretching away from the x-axis.

Front

How do you represent a leftward shift of 5 units in the function's equation?

Back

f(x) = √(x + 5) for the function f(x) = √x.

Front

What is the transformation of the function f(x) = -√(x - 5)?

Back

Reflected over the x-axis and shifted right 5 units.

Front

What does the term 'vertical stretch' refer to in graph transformations?

Back

It means multiplying the function by a factor greater than 1.

Front

If a square root graph is shifted down 2 units, how is the equation modified?

Back

f(x) = √x - 2.

Front

What is the domain of the square root function?

Back

x ≥ 0