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By default, Desmos will automatically identify and display key points on a graph— intercepts 153 , maximum, and/or minimum—whenever they exist, showing them as gray dots on the graph. You can then click on the gray dots, which turns them black, to see the exact coordinates of that point.

➢ Practice

𝑦 = 𝑥 2 + 2.8𝑥 − 0.6

For the given quadratic, which of the following is true about its y -intercept?

A) It is less than the smaller x -intercept. B) It is greater than the greater x -intercept. C) It is less than the sum of the x -intercepts. D) It is greater than the sum of the x -intercepts.

MATCHING

𝑓(𝑥) = 2𝑥 2 +3𝑥+6

A) 𝑓(𝑥) = (2𝑥 + 3 4 ) 2 B) 𝑓(𝑥) = (3𝑥 + 3 4 ) 2

39 6 39 6

+

Which of the following is an equivalent form of the function f above?

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C) 𝑓(𝑥) = 2 (3𝑥 + 3 4 ) 2

39 8

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D) 𝑓(𝑥) = 2 (𝑥 + 3 4 ) 2

39 8

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153 The point where a graph crosses an axis.

163

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