Transformations of Quadratics in Standard Form

• compress

• stretch

Which of the following is true when the graph of f(x)=x²+4 is transformed into the graph g(x)=2x²+4

• The new function has more zeroes than the old function

• Both functions have the same vertex

• The function is translated up

• The axis of symmetry changes

Comparing to f(x)=x², select all of the transformations of g(x)=-5x²+11

• Reflected over x axis

• Vertical stretch by 5

• Vertical stretch by 11

• Up 11

• Left 11

Compare the graph of g(x) = 4x² + 1 to the graph of f(x) = x². Choose all that apply.

• Vertical stretch

• Vertical shrink/compression

• Vertical translation (shift) up

• Vertical translation (shift) down

• Reflection

Compare the graph of g(x) = x² + 3 to the graph of f(x) = x². Choose all that apply.

• Vertical stretch

• Vertical shrink/compression

• Vertical translation (shift) up

• Reflection

• Vertical translation (shift) down

Compare the graph of g(x) = 2x² - 5 to the graph of f(x) = x². Choose all that apply.

• Vertical stretch

• Vertical shrink/compression

• Vertical translation (shift) up

• Reflection

• Vertical translation (shift) down

Compare the graph of g(x) = -2x² to the graph of f(x) = x². Choose all that apply.

• Vertical stretch

• Vertical shrink/compression

• Reflection

• Vertical translation (shift) down

• Vertical translation (shift) up

Compare the graph of g(x) = 2x² - 10 to the graph of f(x) = x². Choose all that apply.

• Vertical stretch

• Vertical shrink/compression

• Vertical translation (shift) up

• Vertical translation (shift) down

• Reflection

Compare the graph of g(x) = 6x² to the graph of f(x) = x². Choose all that apply.

• Vertical stretch

• Vertical shrink/compression

• Vertical translation (shift) up

• Vertical translation (shift) down

• Reflection

Compare the graph of g(x) = (1/4)x² to the graph of f(x) = x². Choose all that apply.

• Vertical stretch

• Vertical shrink/compression

• Vertical translation (shift) up

• Reflection

• Vertical translation (shift) down