Quadratic and Linear Compression and Stretches

• It would be stretched vertically

• It would be compressed vertically

• It would be shifted upwards

• It would be shifted downwards

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

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction

• multiply the x² by a decimal

• multiply the x² by a negative number

• multiply the x² by a number greater than 1

Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

• Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

• Stretches the graph by a factor of 3 and translates up 4 units.

• Translates the graph left 1/3 of a unit and up 4 units.

• Translates the graph right 3 unites and down 4 units.

The blue is the parent function. What transformation does the red parabola show?

• Stretch

• Compression

• Reflection and stretch

• Reflection and compression

The black parabola is the parent function. What transformation is shown with the red parabola?

• Stretch

• Compression

• Reflection and stretch

• Reflection and compression

What transformation occurs with y = 2x²?

• Compression

• Stretch

• Reflection

• Stretch and Reflection

What transformation occurs in y = 1/2x²?

• Stretch

• Reflection and stretch

• Compression

• Reflection and compression

What transformation occurs in y = 4x²?

• Reflection and compression

• Reflection and stretch

• Compression

• Stretch