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Level 315

Graphing the Parabola


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b = 4
This graph does NOT represent ax² -1/4, where a would be a fraction less than 1.
vertex
The point where two sides meet. (Shared end points of the line segments of a polygon.)
turning point or extrema
the place where a function changes behavior from decreasing to increasing or from increasing to decreasing
Maximum
the highest possible y value for the graph of a quadratic function; also the y-coordinate of the vertex
Minimum
the lowest possible y value for the graph of a quadratic function; also the y -coordinate of the vertex
Domain
The ______________________ is all the possible INPUT, X, values.
Axis of Symmetry
a line that divides a parabola in two equal halves and goes through the vertex
f(x)=a(x-h)^2 +k
Vertex Form of a parabola
x=-b/2a
Find the line of symmetry
Standard Form of a Parabola
y = ax^2 + bx + c
How to graph Standard Form
Find line of symmetry (x= -b/2a)
Intercept (factored) form
f(x) = a(x-x1)(x-x2) where x1 and x2 are real zeros
How to graph factored form
Find x intercept by setting y to zero
How to graph vetrex form
Plot the vertex (h,x)