QUADRATICS

FACTS ABOUT QUADRATICS

• The standard form of a quadratic equation looks like this.
• ax2+bx+c=0
• It makes it quadratic when it is squared.
• A b and c are constants.
• The co efficient is a.

KEY WORDS

• Parabola- a curve formed by an intersection
• Max and min- max if the parabola is when vertex is high min is low
• Vertex- the highest point
• Axis of symetry- line through shape, where it's a mirror image.

MAX AND MIN

• Max is the highest value of the parabola and opens downward
• Min is the lowest value of the parabola and opens upward

VERTEX

• Lowest or highest point of the parabola
• It depends on whether it is max or min

AXIS OF SYMETRY

• Is the line down the middle of the parabola
• Creates a mirror Image
• Even with the vertex

BALLS, ARROWS, AND MISSILES

• If you throw a ball it will go in the air, slow down, then come down again
• If you throw a ball from 3m above ground with velocity of 14 m/s
• When will it hit the ground? Gravity pulls changing speed by 5 m/s
• Equation- -5t2+14t+3=0
• T=-.2 or t=3

CONTINUED

• Another equation that can be used for the last exapmple is..
• X=-b+or-square rootb2-4ac divided by 2a