Units 3 and 8

Question 1

• Graph A

• Graph B

• Graph C

• Graph D

Answer explanation

Vertical Line Test - If the line crosses the graph 2x it's not a function

Question 2

• F(20x, 20y)

• G(0.4x, 0.4y)

• H(x + 20, y + 20)

• J(x + 0.4, y + 0.4)

Answer explanation

For a dilation, we multiply by the scale factor

Question 3

• F

• G

• H

• J

Answer explanation

Question 4

• F (x ,y)-> (x, -y)

• G (x, y)-> (x, y + 8)

• H (x, y)-> (-y, x)

• J (x, y) -> (-x, y)

Answer explanation

Reflection across the x-axis

*Keep the x

*Opposite of y

(x, - y)

Question 5

• Statement A

• Statement B

• Statement C

• Statement D

Answer explanation

Rotating a figure makes it still congruent (same shape - same angle measurements, same size - same side lengths)

Question 6

• A

• B

• C

• D

Answer explanation

Hint: If it has two arrows coming out of an input (x) it is not a function

Question 7

• F

• G

• H

• J

Answer explanation

Vertical Line Test - if it passes the graph 2x then it's not a function

Question 8

• A

• B

• C

• D

Answer explanation

P(6, -3) --> Multiply with scale factor u

P'(6u, - 3u)

Question 9

• F

• G

• H

• J

Answer explanation

1 unit to the left (x - 1)

10 units down (y - 10)

(x, y) --> (x - 1, y - 10)

Question 10

• Statement F

• Statement G

• Statement H

• Statement J

Answer explanation

The scale factor was 1/4 which is smaller than 1, which means this was a REDUCTION.

The figure is SMALLER since the scale factor was LESS THAN 1