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This is practice for understanding/identifying rigid translations geometrically.
1 : Consider the following graph and it’s transformation:
Original Curve
Transformed Curve
Is this transform a rigid translation?
NoYes
1.1 : Why not?
Because it didn’t move anywhereBecause the function still
has the same general shape.Because the function has been compressed to
a different shape.Because the function got shorter, but not thinner.
2 : Consider the following graph and it’s transformation:
Original Curve
Transformed Curve
Is this transform a rigid translation?
NoYes
2.1 : Why not?
Because it didn’t move anywhereBecause the function still
has the same general shape.Because the function has been compressed to a
different shape.Because the function has flipped, which isn’t just a slide.
3 : Consider the following graph and it’s transformation:
Original Curve
Transformed Curve
Is this transform a rigid translation?
NoYes
3.1 : Why?
Because it slid up and right, but maintained it’s rigid structureBecause the function still has the same number of direction changes.Because the
function has been moved.Because the function has not flipped, which isn’t just a
slide.
Precalculus Algebra MAC1140
