Graph Square Root Functions

Front

What is the parent function of square root functions?

Back

f(x) = √x

Front

What is the general form of a square root function?

Back

f(x) = a√(x - h) + k, where (h, k) is the vertex.

Tags

CCSS.HSF-IF.C.7B

Front

What does the 'a' in the square root function f(x) = a√(x - h) + k represent?

Back

The 'a' represents the vertical stretch or compression and reflection over the x-axis.

Tags

CCSS.HSF-IF.C.7B

Front

How does the graph of f(x) = √x change when 'k' is added?

Back

The graph shifts vertically by 'k' units.

Tags

CCSS.HSF-IF.C.7B

Front

What is the effect of adding a positive 'h' in f(x) = √(x - h)?

Back

The graph shifts to the right by 'h' units.

Tags

CCSS.HSF-IF.C.7B

Front

What is the effect of subtracting 'h' in f(x) = √(x + h)?

Back

The graph shifts to the left by 'h' units.

Tags

CCSS.HSF.BF.B.3

Front

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

Back

The domain is x ≥ 0.

Front

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

Back

The range is y ≥ 0.

Front

How do you determine the vertex of the function f(x) = a√(x - h) + k?

Back

The vertex is at the point (h, k).

Tags

CCSS.HSF-IF.C.7B

Front

What transformation occurs in the function f(x) = -√x?

Back

The graph is reflected over the x-axis.

Tags

CCSS.HSF.BF.B.3