Question

A quadratic function y=f(x)y=f(x) is plotted on a graph and the vertex of the resulting parabola is (5, -4)(5,−4). What is the vertex of the function defined as g(x)=f(x)+2g(x)=f(x)+2?

Answer 1

The vertex of the function defined as g(x) = f(x) +2 according to the task content is; (5, -2).

What is the vertex of the function defined as g(x)?

It follows from the conventional method of representing quadratic equations in vertex form as follows;

y = a(x-h)² + k where the vertex is given as the point, (h,k).

Hence, if the function; g(x)=f(x)+2, it follows that the vertex of the function is; (5, -4+2);

= (5, -2).

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