Question

I need help !!!!!!!!!!!!!!!!!!

Answer 1

`\displaystyle\textsf{a) }\binom{8}{4}\\\\\textsf{b) }\binom{-8}{4}`

Explanation:

Given a translation vector ...

`\displaystyle \binom{g}{h}`

moves g to the right and h up, you want the vectors for 8 right, 4 up, and for 8 left, 4 up.

Substitution

When we have g = units to the right, and we want 8 units to the right, we know that g = 8. Similarly, h = units up, and we want 4 units up, so h = 4.

Putting these values in the vector form, we have ...

a) 8 right, 4 up matches vector ...

`\displaystyle \boxed{\binom{8}{4}}`

b) Left is the opposite of right, so 8 units left will be represented by ...

g = -8

As before, 4 units up means h = 4.

`\displaystyle \boxed{\binom{-8}{4}}`

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