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We have been given that function is a transformation of the quadratic parent function
. We are asked to find the y-intercept of function g.
We know that the function is an upward opening parabola with vertex at point (0,0).
We know that vertex form of a parabola is in form , where point (h,k) represents vertex of parabola.
We can rewrite g(x) as:
The vertex of the function g(x) is at point (0,2).
We know that the vertex of a function is the point, when x is equal to 0. Therefore, the y-intercept of the g is at (0,2).