Chapter 9

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$5 z^{2}-7=0$$

Solve each quadratic equation using the square root property. Express imaginary solutions in \(a+b i\) form. $$(x-3)^{2}=-9$$

Evaluate each function at the given values. \(h(x)=x^{2}-4 x+5\) a. \(h(4)\) b. \(h(-4)\) c. \(h(0)\)

Find the \(y\) -intercept for the parabola whose equation is given. $$y=x^{2}+8 x$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$3 x^{2}-5 x+1=0$$

Solve quadratic equation by completing the square. \(x^{2}-4 x=-2\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$5 z^{2}-2=0$$

Solve each quadratic equation using the square root property. Express imaginary solutions in \(a+b i\) form. $$(x-5)^{2}=-36$$

Evaluate each function at the given values. \(f(x)=5\) a. \(f(9)\) b. \(f(-9)\) c. \(f(0)\)

Find the vertex for the parabola whose equation is given. $$y=x^{2}-4 x+3$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$9 x^{2}-12 x+4=0$$

Solve quadratic equation by completing the square. \(x^{2}+4 x+1=0\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(x-3)^{2}=16$$

Solve each quadratic equation using the square root property. Express imaginary solutions in \(a+b i\) form. $$(x+7)^{2}=-64$$

Evaluate each function at the given values. \(f(x)=7\) a. \(f(10)\) b. \(f(-10) \quad\) c. \(f(0)\)

Find the vertex for the parabola whose equation is given. $$y=x^{2}-6 x+5$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$4 x^{2}+12 x+9=0$$

Solve quadratic equation by completing the square. \(x^{2}+6 x-5=0\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(x-2)^{2}=25$$

Solve each quadratic equation using the square root property. Express imaginary solutions in \(a+b i\) form. $$(x+12)^{2}=-100$$

Evaluate each function at the given values. \(f(r)=\sqrt{r+6}+3\) a. \(f(-6)\) b. \(f(10)\)

Find the vertex for the parabola whose equation is given. $$y=2 x^{2}+4 x-6$$

Solve each equation using the quadratic formula. Simplify irrational solutions, if possible. $$4 x^{2}=2 x+7$$

Solve quadratic equation by completing the square. \(x^{2}-3 x=28\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(x+5)^{2}=121$$

Solve each quadratic equation using the square root property. Express imaginary solutions in \(a+b i\) form. $$(x-2)^{2}=-7$$

Evaluate each function at the given values. \(f(r)=\sqrt{25-r}-6\) a. \(f(16)\) b. \(f(-24)\)

Find the vertex for the parabola whose equation is given. $$y=-2 x^{2}-4 x-2$$

$$3 x^{2}=6 x-14$$

Solve quadratic equation by completing the square. \(x^{2}-5 x=-6\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(x+6)^{2}=144$$

Solve each quadratic equation using the square root property. Express imaginary solutions in \(a+b i\) form. $$(x-1)^{2}=-13$$

Evaluate each function at the given values. \(f(x)=\frac{x}{|x|}\) a. \(f(6)\) b. \(f(-6)\)

Find the vertex for the parabola whose equation is given. $$y=x^{2}+6 x$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$2 x^{2}-x=1$$

Solve quadratic equation by completing the square. \(x^{2}+3 x-1=0\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(3 x+2)^{2}=9$$

Solve each quadratic equation using the square root property. Express imaginary solutions in \(a+b i\) form. $$(y+3)^{2}=-18$$

Evaluate each function at the given values. \(f(x)=\frac{x}{|x|}\) a. \(f(5)\) b. \(f(-5)\)

Find the vertex for the parabola whose equation is given $$y=x^{2}+8 x$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$3 x^{2}-4 x=4$$

Solve quadratic equation by completing the square. \(x^{2}-3 x-5=0\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(2 x+1)^{2}=49$$

Solve each quadratic equation using the square root property. Express imaginary solutions in \(a+b i\) form. $$(y+4)^{2}=-48$$

Graph the parabola whose equation is given $$y=x^{2}+8 x+7$$

Solve each equation by the method of your choice. Simplify irrational solutions, if possible. $$5 x^{2}+2=11 x$$

Solve quadratic equation by completing the square. \(x^{2}=7 x-3\)

Solve each quadratic equation by the square root property. If possible, simplify radicals or rationalize denominators. $$(x-5)^{2}=3$$

Solve each quadratic equation using the quadratic formula. $$x^{2}+4 x+5=0$$

Graph the parabola whose equation is given $$y=x^{2}+10 x+9$$