Describe two different methods you could use to sketch a graph of a quadratic function with zeros $-8$ and 3 , and $y$-intercept $-2$. Which tool(s) would you need for each method?

How the Federal Government aligns resources and delivers core capabilities to reach our shared national preparedness goal is described in:

A. Science and Technology.

B. The Response: Federal Interagency Operational Plan.

C. The Strategic Information and Operations Center.

D. The National Operations Center.

Solve each equation by completing the square. If necessary, round to the nearest hundredth.

$$4 w ^ { 2 } + 12 w - 44 = 0$$

Order each group of quadratic functions from widest to narrowest graph.

$$y = - \frac { 1 } { 2 } x ^ { 2 } , y = 5 x ^ { 2 } , y = - \frac { 1 } { 4 } x ^ { 2 }$$

How can you use the discriminant to write a quadratic equation that has two solutions?

Use the axis of symmetry, vertex, and y-intercept to graph the function.

$$y=x^2+x-2$$

Give an example of a quadratic function that matches each description.

Its graph is wider than the graph of $y = x^2$.

Solve by factoring.

$$c ^ { 2 } = 5 c$$

Sketch the graphs of each pair of functions on the same coordinate grid. Identify the vertex of the graph. If the second graph is a transformation of the first, identify the transformation as a stretch, compression, reflection, or translation.

$$f(x)=-\frac{1}{3} x^2 ; g(x)=-\frac{1}{3} x^2-5$$

Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution.

$$x ^ { 2 } + 4 = 0$$

Write a quadratic function in standard form for the parabola shown below. a problem-solving model by

-analyzing the given information ,

-formulating a plan or strategy,

-determining a solution, X

-justifying the solution, and

-evaluating the reasonableness of the solution.

How many real-number solutions does the quadratic equation

$$2x^2+7x+9=0$$

have?

Give an example of a quadratic function that matches each description. Its graph is wider than the graph of

$$y=x^2.$$

Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution.

$$3 x ^ { 2 } - 12 = 0$$