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Lesson 10.1 Graphing quadratic functions
Quadratic Function- a nonlinear function that can be written in the standard form
y=ax2+bx+c. Every quadratic function will create a U-shape graph.
Parabola- The U-shaped graph that is created by any quadratic equation in the form
y=ax2+bx+c
Parent Quadratic Function- The quadratic equation in the form y=x2
y=x2
X Values
-2
0
Values
2
Y
4
0
4
Vertex- The highest or lowest point on the parabola. The vertex of the graph of the
parent function is (0,0).
Axis of Symmetry-The line that passes through the vertex and divides the parabola
into two symmetric parts.
Graph y=3x2 and compare it to the
parent function
-2
0
2
Graph y=-1/4x2 and compare it to the
parent function
Graph y=x2+5 and compare it to the
parent function