Graphing Function Transformations: Part 1 Insights

Graphing Function Transformations: Part 1 Insights

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

Created by

Ethan Morris

FREE Resource

This video tutorial explains how to graph functions with multiple transformations, focusing on the effects of parameters A, B, C, and D. It provides step-by-step examples of graphing functions with vertical and horizontal compressions, reflections, and shifts. The video emphasizes understanding parent functions and applying transformations without a graphing calculator. It concludes with a preview of additional examples in the next video.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the value of A in the function F(x) = -1/2 |x + 1| - 2?

It indicates a horizontal compression.

It indicates a reflection and vertical compression.

It indicates a vertical stretch.

It indicates a horizontal shift.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If C = +1 in the function F(x) = -1/2 |x + 1| - 2, what transformation does it represent?

Shift down one unit

Shift up one unit

Shift left one unit

Shift right one unit

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you graph the reflection and vertical compression of the function Y = -1/2 |x|?

Multiply the Y coordinate by -1/2 and leave the X coordinate the same.

Add 1 to the X coordinate and subtract 2 from the Y coordinate.

Subtract 1 from the X coordinate and add 2 to the Y coordinate.

Multiply the X coordinate by -1/2 and leave the Y coordinate the same.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the new coordinates of the point (4, -2) after shifting it left one unit and down two units?

(3, -4)

(5, -4)

(3, -1)

(2, -3)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the function F(x) = √(2(x - 2)) + 1, what does the value B = 2 represent?

Vertical stretch

Horizontal stretch

Horizontal compression

Vertical compression

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the parent function for the second example function?

Y = |x|

Y = 1/x

Y = x^2

Y = √x

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you perform a horizontal compression on the parent function Y = √x?

Multiply the Y coordinate by B

Subtract B from the Y coordinate

Divide the X coordinate by B

Add B to the X coordinate

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