02 vertex, min, max, intercepts - graphing

Post on 08-Jul-2015

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Transcript of 02 vertex, min, max, intercepts - graphing

QUADRATICS &

POLYNOMIALSVERTEX, AXIS INTERCEPTS, MAX MIN, Y VALUES

COEFFICIENTS

https://www.desmos.com/calculator

• Use this graphing calculator to play with the coefficients. Remember:

• 1.) a is the ONLY one which changes the shape of the quadratic!

• 2.) b changes the ‘bottom’ position from one quadrant to another

• 3.) c moves up or down along the y axis. (DRAW THE LINE THROUGH c)

“A vertex (plural vertices) is a special kind of point

that describes the corners of geometric shapes”

WHAT ABOUT

PARABOLA….

Intercepts arepoints where the function goes through the axis.

THE POINT AT WHICH THE PARABOLA ‘FLIPS’

ITS SLOPE BACKWARDS IS CALLED THE

VERTEX.

Parabola is reflected across this line using the line of symmetry. (REMEMBER COEFFICIENT c?)

SO, WHAT ARE INTERCEPTS?

The intersections of the axes and the

parabola are called intercepts.

Step 1: Switch Your Graphing Calculator on.

USE THE SHEET TO CREATE YOUR OWN

QUADRATIC EQUATIONS AND FIND THEIR

VERTEX, MINIMUM, MAXIMUM AND INTERCEPT.