Definitions
Range definition
the difference between the highest and the lowest values in a set Interval.
Discriminant and Roots definition
a relatively simple expression that determines some of the properties, as the nature of the roots, of a given equation or function.
Identify the minimum: f(x) = X2 - 7
-7
Identify the maximum: f(x) = -14x - x2 - 109
-60
Vertex definition
The highest point that the line goes
Vertex form definition
a vertex form is a point where two or more curves, lines, or edges meet.
Identify the range: f(x) = 4x2
(0,infinity)
Identify the vertex: f(x) = (x + 2)2 = 3
(-2,3)
Y-intercept definition
the y-coordinate of a point where a line, curve, or surface intersects the y-axis.
Axis of Symmetry definition
Axis of symmetry is a line that divides an object into two equal halves
Identify the y-intercept: f(x) = X2 - 5
(0,-5)
Identify the discriminant 3x2 + 4x - 8 = 0
112
Maximum and Minimum definition
maximum is a point that is higher than the points directly beside it on both sides, and a minimum is a point that is lower than the points directly beside it on both sides.
Identify the Axis of Symmetry: f(x) = -x2 - 2x +3
-X
Where is this vertex form located on the graph: Y = a(x-h)2+k
In the middle
Domain definition
the domain is all the values of the graph from left to right.
Identify the domain: f(x) = 8x2
(-infinity, infinity)