Graph Transformation

Graph Transformation

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Hard

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The video tutorial explains how to identify and transform the minimum point of a curve equation y = F(X). It covers the effects of transformations on X and Y coordinates and analyzes a sine graph with altered parameters. The tutorial also highlights the importance of understanding scale factors, shifts, and midpoints in graph analysis.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the coordinates of the minimum point of the curve with the equation y = F of X?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the value of X inside the brackets affect the coordinates of the minimum point?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the effect of the number outside the brackets on the Y coordinate?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Identify the values of a, B, and C from the graph of y = a sine(X - B) + C.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the scale factor a affect the range of the sine graph?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the graph of y = a sine(X - B) + C differs from a standard sine graph.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the midpoint in relation to the maximum and minimum points of the curve?

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