Question

Jonny is writing a program for a video game. For one part of the game he uses the rule given below to move objects on the screen. Showing all your work, give the output that the rule gives for the inputs. (x, y)→(x−7.5, y+6.8) First input: (5.4, 3.1) Second input: (9.4, -2.3)

Answer 1

Transformation involves changing the location of a point.

• The new location of (5.4, 3.1) is (-2.1,9,9)
• The new location of (9.4, -2.3) is (1.9,4.5)

The transformation rule is given as:

$(x,y) \to (x - 7.5,y+6.8)$

For the first point (5.4, 3.1),

The new point calculated using:

$(5.4, 3.1) \to (5.4 - 7.5,3.1+6.8)$

$(5.4, 3.1) \to (-2.1,9,9)$

Hence, the new location of (5.4, 3.1) is (-2.1,9,9)

For the second point (9.4, -2.3),

The new point calculated using:

$(9.4, -2.3) \to (9.4 - 7.5,-2.3+6.8)$

$(9.4, -2.3) \to (1.9,4.5)$

Hence, the new location of (9.4, -2.3) is (1.9,4.5)

Read more about transformations at:

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