Question

The graph of f(in blue) is translated a whole number of units horizontally and vertically to obtain the graph of g (in red). The function f is defined by f(x) = - x ^ 2 Write down the expression for g(x)

Answer 1

Given:

Graph of function :

`f(x)=-x^2`

Find: Expression of g(x)

Sol:

The graph move on "x" axis is 2 unit which means graph shift 2 unit in the right side .

So graph of

`g(x)=-(x-2)^2`

The graph moves upward in y-axis

So the function of graph is:

`g(x)=-(x-2)^2+4`