Quadratic Relations

Ontario 10 Academic (MPM2D)

Transformations on quadratic equations

What is dilation?

A movement of the curve in an upwards or downwards manner

A

A change in the curve affecting the steepness/slope of the curve

B

A mirroring of the curve, often over an axis

C

A movement of the curve either leftwards or rightwards

D

A movement of the curve in an upwards or downwards manner

A

A change in the curve affecting the steepness/slope of the curve

B

A mirroring of the curve, often over an axis

C

A movement of the curve either leftwards or rightwards

D

Easy

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Explain the roles of a, h, and k in y = a(x – h )^2 + k, using the appropriate terminology to describe the transformations, and identify the vertex and the equation of the axis of symmetry