Aquadratic function y = f ( x ) y=f(x) is plotted on a graph and the vertex of the resulting parabola is ( − 4 , − 5 ) (−4,−5). what is the vertex of the function defined as g ( x ) = f ( − x ) + 3 g(x)=f(−x)+3?

we know that

 g(x)=f(−x)+3

  that means

point (x,y) in the graph f(x) becomes a point (-x, y+3) in the graph g(x)

 therefore

 the point (-4,-5) > becomes a point (4,-5+3) > (4,-2)

the answer is

the vertex is the point (4,-2)

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