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Graph parabola

Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.

Using the vertex, x-intercept and y intercept
The vertex x=h split the graph into two halves. So, drawing the vertical line x=3 and graph.
On the graph the curve turn at the vertex ( 3,-1).

Describe how this graph compares to the graph of y = x2?

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Solution Summary

The detailed solution elaborates on how to graph the parabola by its basic properties, such as, axis of symmetry, vertex, x- and y-intercepts. It also explains the transformation of parabola functions both mathematically and graphically.