How do you describe the sequence of transformations of #y = -2tan(x+(pi/4))#?

1 Answer
turksvids
Dec 3, 2017

Shift the graph of tangent #pi/4# to the left, stretch the graph vertically by a factor of 2, reflect the resulting graph over the #x#-axis.

Explanation:

For the horizontal shift I always take whatever is in the parentheses find what makes it 0: #x+pi/4=0\rightarrowx=-pi/4#, so we need to shift #pi/4# to the left.

The absolute value of the coefficient of the function is a vertical stretch, in this case by a factor of 2. The negative sign reflects over the #x#-axis.

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