4. Graphs and Transformations

Question 1

What does a cubic graph look like?

Answer 1

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Question 2

What do quartic graphs look like?

Answer 2

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Question 3

What do reciprocal graphs look like?

Answer 3

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Question 4

What are the graph transformations?

Answer 4

y = f ( x )
y = f ( x ) + a : move up by a
y = f ( x ) - a : move down by a
y = f ( x + a ) : move left by a
y = f ( x - a ) : move right by a
y = - f ( x ) : reflection in x axis
y = f ( - x ) : reflection in y axis
y = a f ( x ) : multiply y values by a
y = f ( a x ) : divide x values by a