The graphs below have the same shape. what is the equation of the blue
graph?

g(x) = (x + 3)² + 1

Step-by-step explanation:

Given the function f(x) then f(x + a) represents 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

The vertex of f(x) is at (0, 0)

While the x- coordinate of the vertex of g(x) is at - 3, that is a shift to the left of 3 units, thus

g(x) = (x + 3)² + c

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

• If c > 0 then a shift up of c units

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

Here g(x) is 1 unit above the x- axis, thus a shift up of 1 unit

Hence

g(x) = (x + 3)² + 1

christopher is 272,195 year old

step-by-step explanation: