Scale change

Question 1

What is the scale factor of the following size change?

Accepted Answer

Scale factor 1/3

Question 2

5a. Given f\left(x\right)=x^3+3x^2-4x write a formula for f\left(\frac{x}{3}\right), and determine

Accepted Answer

f\left(\frac{x}{3}\right)=\frac{x^3}{27}+\frac{1}{3}x^2-\frac{4}{3}x

Question 3

1. Under every scale change, the preimage and image are congruent.

Accepted Answer

False

Question 4

8. Given S\left(x,y\right)=\left(2x,\frac{y}{7}\right). Find the image of (-3,9) and (1/2,1/4) under S

Accepted Answer

\left(-6,\frac{9}{7}\right);\left(1,\frac{1}{28}\right)

Question 5

6. Which of these transformations is a size change?

Accepted Answer

\left(x,y\right)→\left(3x,3y\right)

Question 6

How does the image of a triangle change under a size change with scale factor of 2?

Accepted Answer

enlargement

Question 7

5b. How is the formula of f\left(\frac{x}{3}\right)related to the graph of f(x)?

Accepted Answer

It is the image of f stretched horizontally by a factor of 3

Question 8

3. If S maps each point (x, y) to (x/2 , 6y), give an equation for the image of y = f(x) under S.

Accepted Answer

y=6f\left(2x\right)

Question 9

10. A name for the horizontal scale change of magnitude –1, and its rule are:

Accepted Answer

Reflection over y-axis. (x,y)→(-x,y)

Question 10

What is the scale factor of the following size change ?

Accepted Answer

Scale factor 3

Question 11

How does the image of a triangle change under a size change with factor of 1/3?

Accepted Answer

reduction

Question 12

What is the scale factor of the following size change?

Accepted Answer

2.5

Question 13

2. Under a scale change with horizontal scale factor a, and vertical factor b, the image of (x, y) is

Accepted Answer

(ax, by)

Questions 13