Show:
Vocabulary
Find the Axis of Symmetry
X-Intercept(s)
Find the Vertex
Solve for x=-3
100

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

Parabola

100

x2 - 3x + 1 = 0

x = 3/2

100
Name the x-intercepts. y=2(x-2)(x+6)
What is (2,0) and (-6,0)?
100
Name the vertex y= (x-3)^2 +4
What is (3,4)?
100

f(x) = x^2 - 3x + 1

19

200

The highest or lowest point on a parabola.

the Vertex
200

y = 2 (x - 5)² + 6

x = 5

200
Name the x-intercepts Y=(x)(x-2)
What is (0,0) and (2,0)?
200
y= (x+1)^2 - 8
What is (-1, -8)?
200

f(x) = -3x2-3

-30

300

The lowest point on a parabola

The minimum

300

5x2 + x - 1 = 0

x= -1/10

300
Name the x-intercepts. y=x^2 - 4
What is (-2,0) and (2,0)?
300
y=(x+4)(x-4)
What is (0,-16)?
300

f(x) = -1/3 (x + 3)2

0

400

If |a|> 0, the graph Concaves

Up

400

y = 2x2+3

x=0

400
Name the x-intercepts y=x^2 - x - 2
What is (-1,0) and (2,0)?
400
Name the vertex x^2 - 4x - 5 = 0
What is (2,-9)?
400

f(x) = 2x2 + 3x -11

-2

500

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

What is axis of symmetry?

500

y = - 1/2 (x + 7)2 - 4

x= -7

500
Name the x-intercepts. y= (x-1)^2 + 1
What is None?
500

Name the vertex 2x^2 + 4x - 6 = 0?

What is (-1,-8)?

500

f(x) = 3 (x + 5)2 - 4

8