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Home > PC3 > Chapter 8 > Lesson 8.2.1 > Problem 8-64

8-64.

The graphs of and are shown below. Write an equation in terms of that will transform the graph of into .  

Continuous Piecewise graph, labeled f of x, left piece, downward parabola, vertex at the point (negative 1, comma 3), passing between negative 3 & negative 2 on the, x axis, stopping at the point (1, comma negative 1), & ray, starting at (1, comma negative 1), passing through the point (3, comma 3), continuing up & right.Continuous Piecewise graph, labeled g of x, left piece, upward parabola, vertex at the point (2, comma negative 2), passing  through the point (0, comma 2), stopping at the point (3, comma 1), & ray, starting at (3, comma 1), passing through the point (6, comma negative 2), continuing down & right.

is a vertical reflection of .

The function is then shifted to the right units.

The function is then shifted up unit.