Graphing Quadratic Functions

Vocabulary

101

Every quadratic equation has a U-shaped graph called this.

What is parabola?

202

The highest or lowest point on a parabola.

What is the vertex?

303

When a quadratic equation is written in this form y = ax^2 +bx + c

What is the standard form?

404

This is the number before the x² that determines whether a parabola opens up or down.

What is the a value?

505

The line that runs through the vertex and divides the parabola in half.

What is axis of symmetry?

Name that Form

101

x² - 3x + 1 = 0

What is standard form?

202

y = 2 (x - 5)² + 6

What is Vertex form?

303

5x² + 75x - 1 = 0

What is standard form?

404

y = 2(x-1)(x+7)

What is intercept form?

505

y = - x² + 7

What is vertex and standard form?

Extra Points

101

Name the x-intercepts. y=2(x-2)(x+6)

What is (2,0) and (-6,0)?

202

Name the x-intercepts Y=(x)(x-2)

What is (0,0) and (2,0)?

303

Name the y-intercepts. y=x² - 4

What is -4?

404

The input out table for y=-(x+4)(x-2)

Table points 

x      y

-4   0

-2   8

-1    9

0     8

2     0

505

Name the x-intercepts. y= 1/2x² +6x+ 10

Table points 

x      y

-12   10

-8   -6

-6    -8

-4    -6

0     10

Characteristics

101

Name the vertex y= (x-3)² +4

What is (3,4)?

202

the AOS of y= (x+1)² - 8

What is x=-1

303

The range of y=(x+4)(x-4)

What is y>-16?

404

The maximum or minimum height of x² - 4x - 5 = 0. 

What is a minimum at y=-9

505

Name the Range of -2x² + 4x - 6 = 0?

What is y<-4?

This Category will result in graph-ic images.

101

Graph the equation . y=(x-5)(x-1) Show work

What is graph on board?

202

Graph the equation. y = (x+2)(x-2)

Show Work

What is graph on board?

303

Graph the equation. y=(x+1)² - 2

What is graph on board

404

Graph the equation.  y=(x-4)² + 3

What is graph on board.

505

Graph the equation. Must include vertex, and at least one point on each side. -x² -6x + 1 = 0

What is graph on board