Quadratic Equations
The discriminant tells you...
how many solutions a quadratic equation has.
definition of axis of symmetry
the line that cuts the graph into two symmetrical parts
A quadratic equation will have no real solutions when...
the parabola does not cross the x axis
y intercept
the point where the graph crosses the y axis
A quadratic equation will have one solution when...
the vertex of the parabola is on the x axis
Solve (x + 10)(x + 2) = 0
x = -10, x = -2
Solve (x + 5)(x - 1) = 0
x = -5, x = 1
Formula for the axis of symmetry
x = -b/2a
Solve (x - 10)(x - 2) = 0
x = 2, x = 10
Solve (x - 5)(x + 1) = 0
x = 5, x = -1
A quadratic equation will have two solutions when...
The graph crosses the x axis in two places
Parabola
The shape of a the graph of a quadratic function
Standard Form
This quadratic function is written in ...
Formula for the discriminant
b^2-4ac
Trinomial
A polynomial with three terms
Binomial
A polynomial with two terms
Roots/Zeroes/Solutions
Can be found where the graph crosses the x-axis
Quadratic Equation
Polynomial with degree 2
Factor x^2 + 20x + 100
(x + 10)(x + 10)
Factor x^2 + 10x + 25
(x + 5)(x + 5)
Factor x^2 - 20x + 100
(x - 10)(x - 10)
Factor x^2 - 10x + 25
(x - 5)(x - 5)