Graphing Quadratic Equations with Transformations

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

• Wider

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

f(x)=-4x²

• Up and skinnier

• Up and wider

• Down and skinnier

• Down and wider

Which variable, when negative, can cause the parent function to reflect across the x-axis (face downwards)?

• a

• h

• k

Which describes the transformation of f(x) = x² to the graph of g(x) = ¹/₄x²?

• vertical stretch

• horizontal stretch

• vertical compression

• horizontal compression

What transformation has occurred form the quadratic parent function.

• Vertical Stretch

• Vertical Compression

• Right Two

• Left Two

• Down Four

What transformation has happened from f(x) = x² to f(x) = -3x² ?

• The new function reflects about the y-axis.

• The new function reflects about the x-axis and gets narrower.

• The new function reflects about the x-axis and gets wider.

• The new function gets narrower.

What transformation were made to this function y=5(x+2)²+7?

• up 5, right 2, vertical shrink by 7

• vertical stretch by 5, left 2, up 7

• reflect over the x axis, right 5, up 5

• vertical shrink by 5, up 2, left 7

What does changing y=x² to y=(x+1)² do to the function?

• Move it down one.

• Move it up one.

• Move it left one.

• Move it right one.

Consider # 1. Check the box for any transformation that occurred on the parent function.

• shifted up

• shifted down

• shifted right

• shifted left

• reflection

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)=x²?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5