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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)

The graph of fin 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 fx x 2 Writ class=

Respuesta :

Given:

Graph of function :

[tex]f(x)=-x^2[/tex]

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

[tex]g(x)=-(x-2)^2[/tex]

The graph moves upward in y-axis

So the function of graph is:

[tex]g(x)=-(x-2)^2+4[/tex]