Quadratics

Question 1

a > 0

Answer 1

The parabola curves upward.

Question 2

a < 0

Answer 2

The parabola curves downward.

Question 3

Quadratic Relation

Answer 3

ax^2 + bx + x.

Question 4

Parabola

Answer 4

The shape of the graph of any quadratic relation.

Question 5

Vertex

Answer 5

The point where the parabola reaches its maximum or minimum value.

Question 6

Axis of Symmetry

Answer 6

A line that separates a 2-D figure into two identical parts.

Question 7

Maximum Value

Answer 7

The largest value of Y when a < 0.

Question 8

Minimum Value

Answer 8

The smallest value of Y when a > 0.

Question 9

First Difference

Answer 9

This value is found my taking the differences of the Y value in a table ( when the first difference is equal the equation is linear ).

Question 10

Second Difference

Answer 10

This value is found by taking the differences of the first difference in a table ( when the second difference is equal the equation is quadratic ).

Question 11

Zero

Answer 11

In a function its a term that makes the quadratic function equal to zero.

Question 12

Quadratic Equation

Answer 12

A polynomial equation of the second degree.

Question 13

Factoring Quadratic Equations

Answer 13

A quadratic eqaution in factored form is written as

a( x - r )( x - s ).

Question 14

Axis of Symmetry with factored form

Answer 14

In the equation a( x - r )( x - s ) the axis of symmetry is

( r + s )/2.

Question 15

Quadratic Formula

Answer 15

A formula for solving the roots of a quadratic equation in the form of ax^2 + bx + x = 0. It is written as
x = ( -b +- √b^2 - 4ac ) / 2a.

Question 16

Value P

Answer 16

This value is the X coordinate of the vertex of the parabola and can be found using
P = ( -b ) / 2

Question 17

Value Q

Answer 17

This value is the Y coordinate of the vertex of the parabola and can be found using
Q = ap^2 + bp + p