Question

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting

parabola is (-4,-6). What is the vertex of the function defined as
g(x) = f(x) + 3?

Answer 1

(- 4, - 3 )

Explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

For

g(x) = f(x) + 3

This is the graph of f(x) shifted 3 units up

Given the vertex of f(x) = (- 4, - 6 ), then

vertex of g(x) = (- 4, - 6 + 3) = (- 4, - 3 )