Alexandra is creating a video game. Every time the main character jumps in the game, the image follows a translation using the coordinate rule
(
x
,

y
)

(
x
+
4
,

y
+
9
)
. If the main character is located at
(

5
,

0
)
, what will the new location be after a jump? (
,
)



Answer :

Using translation concepts, the new location after the jump will be at (9,9).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The translation rule for this problem is:

(x,y) -> (x + 4, y + 9).

Which means that the coordinates move 4 units right and 9 units up.

The initial position is:

(5,0).

Hence the final position is:

(5,0) -> (5 + 4, 0 + 9) = (9,9).

The new location after the jump will be at (9,9).

More can be learned about translation concepts at https://brainly.com/question/4521517

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