Describing Quadratic Transformations

Describe the Transformation of the function; ​ (a)  

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Vertical Shift UP

• Vertical Shift DOWN

• REFLECTION over the X-Axis

Select all that apply.

Describe the transformations Given:

y = (x - 3)² + 1

• Shift Up 1

• Shift Down 3

• Shift Left 1

• Shift Right 3

Describe the transformations Given:

y = 0.2(x + 3)² - 4

• Vertical Compression, Shift Right 3, Shift down 4.

• Vertical Stretch, Shift Left 3, Shift down 4.

• Vertical Compression, Shift Left 3, Shift down 4.

• Vertical Stretch Shift Right 3, Shift down 4.

Select all that Apply: Describe the transformations give:

y = 0.75(x + 4)² + 2

• Shift Right 2

• Vertical Compression

• Vertical Stretch

• Shift Left 4

• Shift up 2

Describe the transformations Given: y = -2(x + 1)²

• Vertical Compression, Shift Left 1

• Reflects over x-axis, Vertical Stretch, Shift Left 1

• Reflects over x-axis, Vertical Stretch, Shift Up 1

• Reflects over x-axis, Shift Right 1, Shift down 2.

Select all that Apply: Describe the transformations give:

y = -0.25(x + 3)²

• Reflects over x-axis

• Vertical Compression

• Vertical Stretch

• Shift Left 3

• Shift Right 3

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Wider

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

• Wider

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

A parabola is upside-down when a is:

• negative

• positive

• 0

• infinite