Graph Transformations (Leaving Cert Mathematics): Flashcards

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Graph Transformations
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14 cards from this deck

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Effect of f(x−h)f(x-h) on graph

Shifts horizontally by hh units

Direction of shift when h>0h>0 in f(x−h)f(x-h)

Right

Direction of shift when h<0h<0 in f(x−h)f(x-h)

Left

Effect of f(x)+kf(x)+k on graph

Shifts vertically by kk units

Direction of shift when k>0k>0 in f(x)+kf(x)+k

Upwards

Direction of shift when k<0k<0 in f(x)+kf(x)+k

Downwards

Effect of a⋅f(x)a \cdot f(x) on graph

Stretches vertically by scale of aa

Effect when a>1a>1 in a⋅f(x)a \cdot f(x)

Stretched vertically

Effect when 0<a<10<a<1 in a⋅f(x)a \cdot f(x)

Compresses vertically

Effect of f(bx)f(bx) on graph

Scales horizontally by factor of bb

Effect when b>1b>1 in f(bx)f(bx)

Compressed horizontally

Effect when 0<b<10<b<1 in f(bx)f(bx)

Stretches horizontally

Effect of y=−f(x)y=-f(x)

Inverts yy values, flips graph upside down

Effect of y=f(−x)y=f(-x)

Inverts xx values

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