1.1_graphing quadratic equations in standard form.notebook

1.1_graphing quadratic equations in standard form.notebook
October 15, 2014
1.1: Graphing Quadratic Functions in Standard Form
1.1_graphing quadratic equations in standard form.notebook
October 15, 2014
A function where the highest exponent is two is called a quadratic function.
1.1_graphing quadratic equations in standard form.notebook
October 15, 2014
Parabola:
The graph of a quadratic equation is called a parabola. The shape of the graph is a U.
1.1_graphing quadratic equations in standard form.notebook
October 15, 2014
The equation of the parent quadratic function is y = x2
1.1_graphing quadratic equations in standard form.notebook
Concavity
When a graph opens up, it is called concave up and has a minimum.
When a graph opens down, it is called concave down and has a maximum.
October 15, 2014
1.1_graphing quadratic equations in standard form.notebook
x­intercept: (also called roots, zeros, or solutions) Where the parabola crosses the x­axis
three types:
October 15, 2014
1.1_graphing quadratic equations in standard form.notebook
October 15, 2014
Vertex: The lowest or highest point of the parabola 1.1_graphing quadratic equations in standard form.notebook
y­intercept: Where the parabola crosses the y­axis; to find this value, plug in 0 for x and solve for y
October 15, 2014
1.1_graphing quadratic equations in standard form.notebook
October 15, 2014
y = ax2 + bx + c
if a > 0, parabola will be concave up
if a < 0, parabola will be ocncave down
c is the y­intercept
1.1_graphing quadratic equations in standard form.notebook
October 15, 2014
vertex when given equation in standard form
x = ­b 2a
To find the y­value, plug the x­value into the equation and solve
1.1_graphing quadratic equations in standard form.notebook
October 15, 2014
Axis of Symmetry (AOS):
AOS
vertical line through the vertex that cuts the parabola in half; will always be x = #; that # will be the x­value of the vertex
x=2
1.1_graphing quadratic equations in standard form.notebook
Ex 1: y = 2x2 ­ 8x +6 a. vertex
b. AOS
c. y­intercept
d. Graph & Label
October 15, 2014
1.1_graphing quadratic equations in standard form.notebook
Ex 2: y = x2 + 6x + 9
a. vertex
b. AOS
c. y­intercept
d. Graph & Label
October 15, 2014
1.1_graphing quadratic equations in standard form.notebook
Ex 3:
a. vertex
b. AOS
c. y­intercept
d. Graph & Label e. Graph October 15, 2014
1.1_graphing quadratic equations in standard form.notebook
October 15, 2014
1.1_graphing quadratic equations in standard form.notebook
Ex 4:
a. vertex
b. AOS
c. y­intercept
d. Graph & Label October 15, 2014