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Vertical and Horizontal Shifts of Quadratic Graphs - Problem

Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

In the vertex form of a quadratic equation, y = a(x - h ) ^2 + k , the "h" value represents a horizontal shift. If you can imagine the "parent" parabola, or the graph of y = x^2, you only need to shift it side to side according to the "h" value in parentheses with x. The only trick is you move in the opposite direction of what you would think- (x-2)^2 would represent a shift of 2 units to the right and (x + 3)^2 would represent a shift of 3 units to the left.

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