Question

Which transformation will map figure Honto figure H? (1 point)

1) Reflection across the y-axis
2) Vertical translation of 10 units
3) Vertical translation of 15 units
4) Reflection across the x-axis

Answer 1

2) Vertical translation of 10 units

Explanation:

Given

H and H'

Required

Which maps H to H'

First, we pick the coordinate of any point on H

`H(x,y) = (4,2)`

First, we pick a corresponding coordinate on H'

`H'(x,y) = (4,-8)`

The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.

By looking at the coordinates of H and H, we have:

H:
`x = 2` and H':
`x = 2` --- The same x coordinates

H:
`y = 2` and H':
`y = -8` --- Different y coordinates

The difference between the y coordinates is:

`Difference = H(x) - H'(x)`

`Difference = H(2) - H'(2)`

`Difference = 2 - (-8)`

`Difference = 2 +8`

`Difference = 10`

Hence,

2) Vertical translation of 10 units is correct.