Question

The graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of h (in red).The function f is defined z^ x z L -=(x)f lambdaWrite down the expression for h (x)

Answer 1

Given:

The graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of h (in red).

The function f(x) is as follows:

`f(x)=-(1)/(2)x^2`

The vertex of the function (f) is the point (0, 0) while the vertex of the function (h) is the point (-4, -2)

So, the function (f) is translated 4 units left then 2 units down

The expression for the function h(x) will be as follows:

`h(x)=-(1)/(2)(x+4)^2-2`