Chapter 2 Vocabulary Flashcards
U-shaped curve when a quadratic function is graphed
Parabola
A vertical line through the vertex of the function’s graph
Axis of symmetry
The highest and lowest points of a parabola
Vertex
When a parabola opens upward, is the y-value at it’s minimum or maximum value?
Minimum
When a parabola opens downwards, is the y-value at its minimum or maximum value?
Maximum
If the value of a>0, does the parabola open upwards or downwards?
Upwards (a=positive=like a smile)
What property states that if two quantities multiply to zero, then at least one is zero?
Zero Product Property
The ____ of an equation are the values of the variable that make the equation true.
Roots
The Zeros of a function are the _____ intercepts (x or y?)
X intercepts
Which form (vertex or standard) helps identify other properties such as the y-intercept and is written:
f(x)= ax^2 + bx + c, where a does not equal 0
standard
Which form (vertex or standards) helps identify transformations and is written:
f(x)= a (x-h)^2 + k
vertex
If a<0, does the parabola face upwards or downwards?
downwards (negative=sad=frown)
True or false: a quadratic always contains a square
True (“quad” means square)
True or false: There is always a squared variable in a quadratic function?
True
If the parabola x-intercepts are -5 and 6, what are the zeros?
-5 and 6 (zeros are the same as the x-intercepts)