Quadratics

Real World Examples

100

Which of these is a real world example? 

A) Sweatshirt

B) Hitting a baseball

C) Breaking a pencil

B) Hitting a baseball

200

How is a slap shot in hockey a real world example of a quadratic?

Because you're bringing the hockey stick back with force above your shoulder, then swinging the stick to put movement into the puck.

300

Is blowing a bubble with bubble gum a real world quadratic?

Yes sir/ma'am.

Min/Maximum

100

I will write a graph on the board tell me if it is minimum or a maximum

Maximum

200

Is this a minimum or Maximum

Minimum

300

Is this a minimum or maximum?

Maximum

Quadratic functions

100

x^2 - 6x + 9    Is this a quadratic function?

Yes

200

5x+6x+9x Is this a quadratic function

Nah

300

6x^2-8x+2

Yes 

Axis of Symmetry

100

What is the Axis of Symmetry.

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola . 

200

What is the Axis of Symmetry equation?

-b over 2a

300

What is the axis of symmetry for this equation? 

x^2 +4x-2

-4 over 2 which would equal -2, correct me if I am wrong.

Vertex

100

What is the Vertex?

The highest point; the top or apex.

200

How do you find the vertex?

Plug in the Axis of Symmetry for the x values in the equation and solve it.

300

Can any numbers be the vertex? even negatives?

The vertex is there ever the end or peak of the parabola, so if it is negative then so be it. Any number can be the vertex.