Graphing Radical Equations & Inverse Functions

Front

What is the graph of f(x) = √x + 3?

Back

The graph of f(x) = √x + 3 is a transformation of the basic square root function, shifted up 3 units.

Tags

CCSS.HSF-IF.C.7B

Front

Describe the transformation of the function f(x) = √(x - 4) + 1.

Back

The transformation is a right shift of 4 units and an upward shift of 1 unit.

Tags

CCSS.HSF.BF.B.3

Front

What does a vertical stretch by a factor of 2 do to the graph of f(x) = √x?

Back

It makes the graph steeper, stretching it vertically by a factor of 2.

Tags

CCSS.HSF-IF.C.7B

Front

What does a vertical shrink by a factor of ⅓ do to the graph of f(x) = √x?

Back

It makes the graph flatter, shrinking it vertically by a factor of ⅓.

Tags

CCSS.HSF-IF.C.7B

Front

What is the effect of reflecting the graph of f(x) = √x over the x-axis?

Back

The graph will be inverted, changing all positive y-values to negative.

Tags

CCSS.HSF.BF.B.3

Front

What is the effect of reflecting the graph of f(x) = √x over the y-axis?

Back

The graph will not change since the square root function is not defined for negative x-values.

Tags

CCSS.HSF.BF.B.3

Front

Match the equation y = √(x - 3) with its graph.

Back

The graph is shifted right 3 units from the basic square root function.

Tags

CCSS.HSF-IF.C.7B

Front

Match the equation y = √(x) + 3 with its graph.

Back

The graph is shifted up 3 units from the basic square root function.

Tags

CCSS.HSF-IF.C.7B

Front

Match the equation y = √(x + 3) with its graph.

Back

The graph is shifted left 3 units from the basic square root function.

Tags

CCSS.HSF-IF.C.7B

Front

Match the equation y = √(x) - 3 with its graph.

Back

The graph is shifted down 3 units from the basic square root function.

Tags

CCSS.HSF-IF.C.7B