How to graph an absolute value equation using transformations

How to graph an absolute value equation using transformations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the absolute value function, known as the V graph, and how it can be transformed using the formula X-H+K. The instructor details the roles of parameters A, H, and K in stretching, compressing, and shifting the graph. Examples are provided to illustrate how these transformations affect the graph's appearance, including making it skinnier through vertical stretching.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape does the graph of an absolute value function typically form?

A circle

A V shape

A parabola

A straight line

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the transformation formula X - H + K, what does the parameter 'H' represent?

Reflection

Vertical shift

Horizontal shift

Vertical stretch

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the parameter 'A' affect the graph of an absolute value function?

It stretches or compresses the graph

It shifts the graph vertically

It shifts the graph horizontally

It reflects the graph

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the vertex of the graph is shifted left by 1 unit and down by 4 units, what are the values of H and K?

H = 1, K = 4

H = -1, K = -4

H = 1, K = -4

H = -1, K = 4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph when it is multiplied by a factor of 2?

It becomes wider

It becomes skinnier

It shifts upwards

It shifts downwards