functions/transformations
quadratic functions
Parabolas #1
Parabolas #2
Miscelaneous
100
most basic function of a family
What is a parent function?
100
the u-shaped graph of a quadratic function
What is a parabola?
100
a line that divides a parabola into mirror images and passes through the vertex
What is the axis of symmetry?
100
a point in the interior of a parabola lying on the point of symmetry
What is the focus?
100
x = -b/2a represents this in a quadratic function f(x) = a (x – h)² + k
What is the axis of symmetry?
200
a change in the size, shape, position, or orientation of a graph
What is a transformation?
200
function that can be written in the form of f(x) = a (x – h)² + k where a ≠ 0
What is a quadratic function?
200
the form of a quadratic function written as ax² + bx + c
What is standard form?
200
a fixed line perpendicular to the axis of symmetry of a parabola
What is the directrix?
200
Represents the y-intercept in f(x) = ax² + bx + c
What is c?
300
transformation that shifts a graph horizontally and/or vertically, but does change its size, shape, or orientation
What is a translation?
300
lowest point of a parabola that opens up or the highest point of a parabola that opens down
What is a vertex?
300
a quadratic function written in the form f(x) = a (x-p)(x-q)
What is intercept form
300
a parabola in the form of y = ¼p x² opens in these directions
What is up or down
300
represents p and q in f(x) = a (x-p)(x-q)
What is p and q?
400
transformation that flips a graph over a line called the line of reflection
What is a reflection?
400
a quadratic function written as f(x) = a (x – h)² + k, where a ≠ 0 and the vertex is (h,k).
What is vertex form?
400
the highest point of a parabola is called this
What is the maximum value?
400
a parabola in the form x= ¼p y² open in these directions
What is right or left?
400
the ordered pair representing the vertex in f(x) = x²
What is the origin?
500
transformation of a graph of a function caused by multiplying all of the y-coordinates by the same positive factor (other than 1).
What is a stretch or a shrink?
500
the term that indicates a horizontal translation in f(x) = a (x – h)² + k
What is h?
500
the lowest point of a parabola is called this
What is the minimum value?
500
True of the distance of any point on a parabola from the focus and the directrix
What is equal?
500
the point lying halfway between the focus and the directrix
What is the vertex?
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