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Describing Transformations of Quadratic Functions

Describing Transformations of Quadratic Functions 1.8 - Solution

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We want to draw the graph of the given quadratic function, which has the form where is either a positive or a negative number. To do so, we will first draw the graph of its parent function, Recall that the graph of is a parabola opening upwards, with vertex whose axis of symmetry is the vertical line and passing through the points and

Our function is a horizontal translation of the parent function by units in the negative direction. Thus, we will translate the above graph units to the left.