Question

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(09.01 LC)
For f(x) = x2 and g(x) = (x - 5)2, in which direction and by how many units should f(x) be shifted to obtain g(x)? (5 points)
O Right 5 units
Up 5 units
Left 5 units
Down 5 units

Answer 1

right 5 units

Explanation:

given f(x) then f(x ± a) is a horizontal translation of f(x)

• if + a then a shift of a units left

• if - a then a shift of 5 units right

f(x) → g(x) = (x - 5)² with a = - 5

then f(x) is shifted 5 units right to obtain g(x)