91Ó°ÊÓ

Rewrite function in the form \(f(x)=a(x-h)^{2}+k\) by completing the square. Then, graph the function. Include the intercepts. \(f(x)=-x^{2}-2 x+3\)

The power in an electrical system varies jointly as the current and the square of the resistance. If the power is 100 watts when the current is 4 amps and the resistance is 5 ohms, what is the power when the current is 5 amps and the resistance is 6 ohms?

Rewrite each equation in the form \(x=a(y-k)^{2}+h\) by completing the square and graph it. $$x=y^{2}-4 y+5$$

Let \(f(x)=3 x-7\) and \(g(x)=x^{2}-4 x-9 .\) Find each of the following and simplify. $$f(c+4)$$

Rewrite function in the form \(f(x)=a(x-h)^{2}+k\) by completing the square. Then, graph the function. Include the intercepts. \(y=-x^{2}+6 x-10\)

Use the transformation techniques to graph each of the following functions. $$y=\sqrt{x-4}$$

Rewrite function in the form \(f(x)=a(x-h)^{2}+k\) by completing the square. Then, graph the function. Include the intercepts. \(g(x)=-x^{2}-4 x-6\)

The force exerted on an object varies jointly as the mass and acceleration of the object. If a 20 -Newton force is exerted on an object of mass \(10 \mathrm{kg}\) and an acceleration of \(2 \mathrm{m} / \mathrm{sec}^{2},\) how much force is exerted on a \(50 \mathrm{kg}\) object with an acceleration of \(8 \mathrm{m} / \mathrm{sec}^{2} ?\)

Rewrite each equation in the form \(x=a(y-k)^{2}+h\) by completing the square and graph it. $$x=y^{2}+4 y-6$$

Use the transformation techniques to graph each of the following functions. $$y=(x-2)^{2}$$