Graphing the Secant Function with a Phase Shift and Reflection Over the X Axis

Graphing the Secant Function with a Phase Shift and Reflection Over the X Axis

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph the function Y = -sec(π/2 * X + π/2) by first graphing its reciprocal function, cosine. It covers the necessary transformations, including amplitude, period, phase shift, and vertical shift. The tutorial provides step-by-step calculations for determining the period and X scale, and explains how to identify the phase shift. Finally, it demonstrates how to graph the cosine function and use it to graph the secant function, highlighting the role of asymptotes and reflections.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the vertical transformation in the cosine graph?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the effect of a negative amplitude on the cosine graph.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the secant graph at the zeros of the cosine graph?

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