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11.) f(x) = 2 |x + 2| + 8 Transformation 1: Transformation 2: Transformation 3: 13.) f(x) = -|x |- 5 Transformation 1: Transformation 2:

User Chris Spicer
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1 Answer

11 votes
11 votes

f(x) = 2 (x + 2)^2 + 8

Transformation 1: If we start with y = x^2 and replace x by x + 2, it has the effect of shifting the graph 2 units to the left.

Transformation 2: Then if we multiply the right side by 2, it turns the parabola upside down and gives a vertical expansion by a factor of 2.

Transformation 3: Finally, if we add 8 to the right side, it shifts the graph to 8 units up.

11.) f(x) = 2 |x + 2| + 8 Transformation 1: Transformation 2: Transformation 3: 13.) f-example-1
11.) f(x) = 2 |x + 2| + 8 Transformation 1: Transformation 2: Transformation 3: 13.) f-example-2
11.) f(x) = 2 |x + 2| + 8 Transformation 1: Transformation 2: Transformation 3: 13.) f-example-3
User Aleksei Tirman
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