Describe the transformations of : f(x)=x^2 to g(x)=3(x+5)^2+2

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Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a vertical shift up of c units

• If c < 0 then a vertical shift down of c units

Given

g(x) = (x + 5)² + 2

This represents a shift to the left of 5 units and a shift up of 2 units

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4

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step-by-step explanation: