Question

Given the point (-1, 8), answer the questions below: After that point was translated 5 units right and 4 units up, the coordinates of this particular point would be ( , ). If this point is a part of a linear function, the parent function f(x)=x would be transformed into an equation that looks like this: g(x) = .

Answer 1

a) x=4 is 5 units to the right of x=-1.

y=12 is 4 units up from y=8.

Your point (-1, 8) is translated to (4, 12).

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b) If the parent function f(x) = x is translated so it goes through (4, 12), the translated function can be written ...

... g(x) = f(x-4) +12 = (x -4) +12

... g(x) = x +8