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A translation by vector (} g h ) moves a shape g squares to the right and h squares up. Write vectors to match each of the translations described below. a) 8 squares to the right and 4 squares up. b) 8 squares to the left and 4 squares up.

Question

A translation by vector (} g h ) moves a shape g squares to the
right and h squares up.
Write vectors to match each of the translations described
below.
a) 8 squares to the right and 4 squares up.
b) 8 squares to the left and 4 squares up.

A translation by vector (} g h ) moves a shape g squares to the right and h squares up. Write vectors to match each of the translations described below. a) 8 squares to the right and 4 squares up. b) 8 squares to the left and 4 squares up.

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ZebulonElite · Tutor for 8 years

Answer

a) \(\binom{8}{4}\)<br /><br />b) \(\binom{-8}{4}\)

Explain

## Step 1:<br />To describe a translation by a vector, identify the horizontal and vertical movements. A movement to the right or up is positive, while a movement to the left or down is negative.<br /><br />## Step 2:<br />For part (a), "8 squares to the right and 4 squares up":<br />### **Translation vector: \(\binom{8}{4}\)**<br /><br />## Step 3:<br />For part (b), "8 squares to the left and 4 squares up":<br />### **Translation vector: \(\binom{-8}{4}\)**
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