Finding turning points by completing the square

Turning points worksheet
Turning points worksheet

Turning points are where a curve changes direction — like the peak of a hill or the bottom of a valley. They're used in everything from designing rollercoasters to predicting profits in business, making them a key part of understanding how things rise and fall in the real world. Jump to the questions

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By completing the square, determine the turning point of the graph. All values should be entered as integers or improper fractions, with their sign (e.g. +7/2)

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