Factor completely:

$$x^2-3x-18$$  

Factor completely:

$$4a^2-64a$$  

Factor completely:

$$16x^2-25$$  

Factor completely:

$$12x^2+5x-3$$  

The quadratic $$x^2-7x-30=0$$   factors into $$\left(x-10\right)\left(x+3\right)=0$$  . What are the roots?

Given the previous discriminant, are the roots of that equation real or imaginary?

Solve the following quadratic equation:

$$x^2+5x+2=0$$  

Hint: It does not factor.

Solve:

$$5x^2=125$$  

Which technique would be the most efficient to solve the following equation?

$$7x^2=29x$$  

Essentially ANY quadratic equation has how many roots/solutions?

What type/how many roots does the shown quadratic have?

The following equation represents what translations from the parent?

$$y=\left(x+5\right)^2-1$$  

Based on opening UP/DOWN, which equation COULDN'T possibly represent the graph?

What is the axis of symmetry of $$y=-\left(x-7\right)^2+3$$  ?

Does the following function have a maximum or a minimum?

$$y=-\left(x-7\right)^2+3$$  

The following function is the same function written in two forms:

Standard Form: $$y=x^2-8x+7$$  

Vertex Form: $$y=\left(x-4\right)^2-9$$  

What is the vertex?

The following function is the same function written in two forms:

Standard Form: $$y=x^2-8x+7$$  

Vertex Form: $$y=\left(x-4\right)^2-9$$  

What are the x-intercepts?

The following function is the same function written in two forms:

Standard Form: $$y=x^2-8x+7$$  

Vertex Form: $$y=\left(x-4\right)^2-9$$  

What is the y-intercept?

What are the roots of the quadratic function?

How long does it take the ball to hit the ground?

Write the following Standard Form Quadratic into Vertex Form by completing the square.

$$y=x^2-10x+7$$  

Use any of the following features to determine the correct equation for the provided graph:

Vertex, axis of symmetry, roots/x-ints, y-int