Square Root Functions

Front

What is a square root function?

Back

A square root function is a function of the form y = √(x - h) + k, where (h, k) is the vertex of the graph.

Tags

CCSS.HSF-IF.C.7B

Front

What is the parent function of square root functions?

Back

The parent function of square root functions is y = √x.

Front

What is the domain of the square root function y = √(x - 5)?

Back

The domain is x ≥ 5.

Front

What is the range of the square root function y = √(x - 5)?

Back

The range is y ≥ 0.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

How does the equation y = √(x - 3) differ from the parent function?

Back

It shifts the graph 3 units to the right.

Tags

CCSS.HSF-IF.C.7B

Front

What transformation does y = √(x) + 3 represent?

Back

It shifts the graph 3 units up.

Tags

CCSS.HSF.BF.B.3

Front

What transformation does y = √(x - 5) - 1 represent?

Back

It shifts the graph 5 units to the right and 1 unit down.

Tags

CCSS.HSF.BF.B.3

Front

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

Back

It shifts the graph vertically by k units.

Front

What is the effect of subtracting a constant inside the square root, like in y = √(x - h)?

Back

It shifts the graph horizontally to the right by h units.

Tags

CCSS.HSF-IF.C.7B

Front

What type of function is y = √(x)?

Back

It is a square root function.