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).Write down the expression for h *(x)The function f is defined * x/-=(x)/^ q

Answer 1

$\begin{gathered} f(x)=-\sqrt{x} \\ f(x)\text{ is shifted 4 units to the left, hence} \\ f(x)^{\prime}=-\sqrt{x+4} \\ f(x)\imaginaryI\text{s sh}\imaginaryI\text{fted 3 un}\imaginaryI\text{ts up, hence} \\ h(x)=-\sqrt{x+4}+3 \\ The\text{ function h\lparen x\rparen is -}\sqrt{x+4}\text{+3} \end{gathered}$