M7: Connecting Intercepts, Zeros, and Factors Flashcards
vertex
The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function.
axis of symmetry
A vertical line drawn through the vertex of a parabola .
zeros
x-intercepts.
if a< 0 does the graph open up or down?
The graph opens down
if a> 0 does the graph open up or down?
The graph opens up
what is the quadratic formula?
-b±√(b)^2-4(a)(c)
____________
2(a)
constant
An identifier that is bound to an invariant value.
quadratic
A polynomial of the second degree.
parabola
The shape formed by the graph of a quadratic function which should be a curve.
quadratic function / standard form
f(x)=ax^2+bx+c
zero of a function
an x-value that makes the value of the function 0
factored form
y = (x+a)(x+b)
polynomial
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s)
zero product property
states that if a * b = 0, then a = 0 or b = 0, or both a and b = 0