Transf 1 y fx a y fx a

Transf 1 y = f(x) + a y = f(x) +a Point (x, y) becomes point (x, y+a) y = f(x) + a This is a ‘shift’ in the y-direction

Transf 2 y = f(x) y = f(x+a) -a Point (x, y) becomes point (x-a, y) y = f(x+a) This is a ‘shift’ in the x-direction, opposite to the sign of number a

Transf 3 y = Af(x) y = f(x) Notice what happens at the zeros y = Af(x) This is a ‘stretch’ in the y-direction, Scale factor A. Every answer (y-coordinate) gets multiplied by A

Transf 4 Notice what happens at the y-intercept y = f(Ax) This is a ‘stretch’ in the x-direction, Scale factor 1/A Every x coordinate gets multiplied by 1/A, y values stay the same

Transf 5 y = f(x) y = -f(x) This is a ‘reflection’ in the axis, mirror line y = 0 Every y coordinate gets multiplied by -1

Transf 6 Notice what happens at the y-intercept y = f(-x) This is a ‘reflection’ in the y-axis, Every x value gets multiplied by -1, So y values are swapped around

THAT’S ENOUGH OF THAT NOW YOU TRY: In PAIRS – One person starts with a graph - Second person choose a transformation - Draw the new graph showing key points - Now pass on to someone else to check - Check someone else’s - Start again with a new graph

TRANSFORMATIONS TO TRY: OR COMBINATIONS OF TWO OR THREE OF THESE !

Challenge tasks

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