Quadratic Function
Quadratic Parent Function
Transformations of the Quadratic Function
Single Transformations of the Quadratic Function
Link to A Transformations

This type of transformation is a vertical transformation

Link to B Transformations

This type of transformation is a horizontal transformation

Two Transformations of the Quadratic Function
Link to AB Transformations

This type of transformation is a DILATION



Link to AC Transformations

This type of transformation is a DILATION and a HORIZONTAL Shift



Link to AD Transformations

This type of transformation is a DILATION and a VERTICAL Shift









Three Transformations of the Quadratic Function


 C/B = 0 no transformation has occurred
 C/B < 0 horizontal shift to the right has occurred
 C/B > 0 horizontal shift to the left has occurred




 B = 1
 no horizontal dilation has occurred
 B = 1
 ONLY horizontal reflection has occurred (difficult to see on symmetric figure)
  B  < 1
 horizontal stretch has occurred
 1 < B < 0 horizontal reflection and horizontal stretch have occurred
 0 < B < 1 ONLY horizontal stretch has occurred
 horizontal stretch has occurred
  B  > 1
 horizontal compression has occurred
 B > 1 ONLY horizontal compression has occurred
 B < 1 horizontal reflection and horizontal compression have occurred
 horizontal compression has occurred


Four Transformations of the Quadratic Function




Links and Resources
LTM Algebra with Trigonometry LTM Geometry LTM Advanced Geometry



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Mr. Hickman's Resources
