Question

Consider the graphs of f(x) and g(x).

If g(x) = f(x)+k, find the value of k.

edit: added image

Answer 1

movement up k units means add k to whole function
moved from 1 to -6
movement up -7 units

k=-7

Answer 2

The value of k is -7

Explanation:

We are given the graph of f(x) and g(x). If g(x)=f(x)+k

If we shift f(x) k unit vertical get g(x).

If k>0 then shift up

If k<0 then shift down.

f(x) and g(x) are both parabola curve.

First we find the vertex of f(x) and g(x)

Vertex of f(x) = (3,1)

Vertex of g(x) = (3,-6)

We can see change in y co-ordinate only.

f(x) shift 7 unit down to get g(x)

g(x)=f(x)-7

Therefore, The value of k is -7