91Ó°ÊÓ

Graph each function using the vertex formula. Include the intercepts. \(y=\frac{1}{2} x^{2}+2 x-3\)

Let \(f(x)=-5 x+2\) and \(g(x)=x^{2}+7 x+2 .\) Find each of the following and simplify. $$g(a-9)$$

Graph each equation using the vertex formula. Find the \(x\) - and \(y\) -intercepts. $$x=-\frac{3}{4} y^{2}+\frac{3}{2} y-\frac{11}{4}$$

If the following transformations are performed on the graph of \(f(x)\) to obtain the graph of \(g(x),\) write the equation of \(g(x)\). \(f(x)=\sqrt{x}\) is shifted down 6 units.

If the following transformations are performed on the graph of \(f(x)\) to obtain the graph of \(g(x),\) write the equation of \(g(x)\). \(f(x)=|x|\) is shifted left 2 units and down 1 unit.

Graph each function using the vertex formula. Include the intercepts. \(h(x)=-\frac{1}{3} x^{2}-2 x-5\)

Let \(f(x)=-5 x+2\) and \(g(x)=x^{2}+7 x+2 .\) Find each of the following and simplify. \(g(x)=-9 x+1 .\) Find \(x\) so that \(g(x)=-17\)

Graph each function using the vertex formula. Include the intercepts. \(g(x)=\frac{1}{5} x^{2}-2 x+8\)

Let \(f(x)=-5 x+2\) and \(g(x)=x^{2}+7 x+2 .\) Find each of the following and simplify. \(h(x)=-2 x-5 .\) Find \(x\) so that \(h(x)=0\)

If the following transformations are performed on the graph of \(f(x)\) to obtain the graph of \(g(x),\) write the equation of \(g(x)\). \(f(x)=x^{2}\) is shifted left 3 units and up \(\frac{1}{2}\) unit.