Transformation of Functions

Front

What is important when graphing transformation (Order matters or Not)?

Back

Order matters!

Front

The following is the four steps of transformation of graphing polynomials:

1. 1. Left/right

2. 2. Stretch/compression

3. 3. Reflection

4. 4.__________

Back

Order matters!

1. Left/right

2. stretch/compression

3. Reflection

4. Up/Down

Front

What is the first step in transforming a polynomial graph?

Back

Left/right shift.

Front

Which transformation involves flipping the graph over x- axis?

Back

Reflection.

Front

What does stretching or compressing a polynomial graph affect?

Back

The steepness or width of the graph.

Front

What are the transformation for the following function f(x)=[-5(x+2)^2 ] - 3.

Back

1. 1. Horizontal shift left 2 units 

2. 2. Vertical Stretch (taller) by a factor of 5

3. 3. “-” is the reflection over the x-axis.

4. 4. Vertical shift down 3 units

Front

What does a vertical shift do to a polynomial graph?

Back

It moves the graph up or down without changing its shape.

Front

How does a negative coefficient in front of a polynomial affect its graph?

Back

It reflects the graph over the x-axis.

Front

What is the effect of a horizontal shift on the vertex of a parabola?

Back

It moves the vertex left or right.

Front

List all the transformation in order for g(x)= -(x - 2)^2 + 4.

Back

1. 1. Horizontal shift 2 units to the right

2. 2. Reflected over the x-axis.

3. 3. Vertical shift up 4 units.