1. 2.

Lesson 5.1& 5.2, QuadraticsMost Missed on Test

Solve the system:

3.

ANSWER

3 10

4 4 8

x y

x y

The length of a rectangle is 7.8 cmMore than 4 times the width. PerimeterIs 94.6. What are the dimensions?

Which is not a solution of:

3 2 5 7x 4.

2 1 0

4 2 2

x y

x y

ANSWER NoSolution (3,1)

Lesson 5.1-Modeling DataLesson 5.2-Properties of Parabolas

y = ax2 + bx + c

The parabola will open down when the a value is negative.

The parabola will open up when the a value is positive.

Standard Form

y

x

The standard form of a quadratic function is a > 0

a < 0

“Maximum”

“Minimum”

y

x

Line of Symmetry

Line of SymmetryParabolas have a symmetric property to them.If we drew a line down the middle of the parabola, we could fold the parabola in half.We call this line the line of symmetry.

The line of symmetry ALWAYS passes through the vertex.

Or, if we graphed one side of the parabola, we could “fold” (or REFLECT) it over, the line of symmetry to graph the other side.

2ba

x

In order to graph a parabola, we need 3 things:1) Axis of Symmetry2) Vertex

3) y-intercept or use table

1) Axis of Symmetry

2ba

x 2( )x 4

142

x

2x

2) Vertex- Is a ordered pair (x,y)We have the “x”

2

,To find “y” substitute the “x” value into the original equation

2 4 1y x x2 (2)3y 3

vertex

3) y-intercept 2 4 1y x x

y-intercept = (0,-1)

1) Axis of Symmetry2) Vertex

3) y-intercept or use table

x = -1

(-1, -1)(0, 3)

Classwork: SW: pg.383, 7-17 odd pg.385, 21-29 odd