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

Answer:

2) Vertical translation of 10 units

Step-by-step 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.