Graphing Quadratics (Parabolas) - Cool math Algebra Help Lessons - Making the Connection Between Solving and Graphing (Intercepts)

$Cool math fractal$

Your browser does not support the IFRAME tag.

$cool math anxiety survival and success guide$ $cool geometry art - fractals, polyhedra, more$ $other math stuff$
$cool math lessons$ $cool math games and practice problems$ $cool math games$ $free online math dictionary$
$Cool Math 4 Kids$

Coolmath Algebra
Graphing Quadratics Lesson 10 - Making the Connection Between Solving and Graphing (Intercepts) (page 2 of 5)
---- This algebra lesson explains the connection between solving and graphing quadratics - finding the x and y intercepts on the graph.

Your browser does not support the IFRAME tag.

	Your browser does not support the IFRAME tag.


Graphing Calculator	Scientific Calculator	<< a new window will open for these

We started with this:

Let me ask you...
What is the y value of points that live on the x-axis?

all points on the x-axis have a y value of 0 ... examples: ( -3 , 0 ) , ( -3/2 , 0 ) , ( 0 , 0 ) , ( 2, 0 )

All the y guys are 0 !

So, y = 0 !

y = 3x^2 - 1 ... 0 = 3x^2 - 1 ... solve this! add 1 to both sides, which gives 3x^2 = 1 which gives x^2 = 1/3 ... take the square root of both sides, which gives x = +/- 1 / sqrt( 3 )

x = -1 / sqrt( 3 ) or x = 1 / sqrt( 3 ) ... ( x is approximately equal to -.58 or .58 )

Hey -- these look great with our graph!

graph of y = 3x^2 - 1 ... the x-intercepts are x = -1 / sqrt( 3 ) and x = 1 / sqrt( 3 )

Continued on the next page

The printing and distribution and/or downloading of these lessons is strictly prohibited.


Graphing Calculator	Scientific Calculator	<< a new window will open for these

||||| copyrights and fair use of these lessons |||||

.....::::::::::::::: HELP SUPPORT COOLMATH :::::::::::::::.....
::::::: link to us ::::::: advertise with us ::::::: why we have ads ::::::: cool math games store :::::::

|| about us || about our Cool Math Games || safe surfing || privacy policy || terms of use || copyrights & fair use ||

|| cool math pre-algebra || cool math algebra || cool math precalculus / calculus || cool math anxiety survival || geometry / art / fractals / polyhedra ||
|| free online brain bender and jigsaw puzzles || cool math books || other math stuff ||

|| cool math lessons: how to... || cool math games & practice problems || cool math 4 kids lessons and games || cool math games for arithmetic ||
|| free online math dictionary || geometry / trigonometry reference || cool math for teachers || cool math for parents || cool math games ||

|| Coolified Games || Cool Math 4 kids || Spike's Game Zone || Finance Freak || Totally Stressed Out || Science Monster lessons ||