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QUADRATICS &
POLYNOMIALS
VERTEX, 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 are
points 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.

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02 vertex, min, max, intercepts - graphing

Editor's Notes

  1. Students to use the graphing calculator with teacher to play with the coefficients. Remind them:1.) a is the ONLY one which changes the shape of the quadratic!2.) b changes the ‘bottom’ position from one quadrant to another3.) c moves up or down along the y axis. DRAW THE LINE THROUGH c
  2. Show where vertex is.