Square Root Function

Front

What is the parent function of square root functions?

Back

f(x) = √x

Front

What transformation occurs when a square root function is shifted left by 2 units?

Back

The function is transformed to f(x) = √(x + 2).

Tags

CCSS.HSF.BF.B.3

Front

What is the domain of the square root function f(x) = √x?

Back

x ≥ 0

Front

What is the range of the square root function f(x) = √x?

Back

y ≥ 0

Front

How does the equation y = √(x - 4) differ from the parent function?

Back

It is shifted right 4 units.

Tags

CCSS.HSF-IF.C.7B

Front

What transformation does the equation y = √(x) + 5 represent?

Back

It is shifted up 5 units.

Tags

CCSS.HSF.BF.B.3

Front

What is the effect of the negative sign in the function f(x) = -√x?

Back

It reflects the graph across the x-axis.

Tags

CCSS.HSF-IF.C.7B

Front

What is the equation of the graph that is shifted left 3 units from the parent function?

Back

y = √(x + 3)

Tags

CCSS.HSF-IF.C.7B

Front

What is the transformation of the function y = √(x) - 3?

Back

It is shifted down 3 units.

Tags

CCSS.HSF.BF.B.3

Front

What is the effect of adding a constant outside the square root function, such as in y = √(x) + k?

Back

It shifts the graph vertically by k units.

Tags

CCSS.HSF-IF.C.7B