Question

A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-6, 3) What is the vertex of the function defined as g(x)=f(x-2)-5

Answer 1

• The vertex of g(x) is (-4, -2)

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g(x) is the translation of f(x) two units right and five units down.

The vertex of g(x) follows the same translation rule:

• x = - 6 + 2 = - 4,
• y = 3 - 5 = - 2.

The vertex of g(x) is (-4, -2).