Question

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

Answer 1

vertex = (- 2, 6)

Explanation:

Given 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

Here a = 5 , thus a horizontal translation left by 5 units.

Thus

vertex of g(x) = (3 - 5, 6 ) = (- 2, 6 )