Understanding Quadratic Functions and X-Intercepts

Using the exponential form

Using the vertex form

Using the factored form

Using the standard form

Write it as a sum of squares

Write it as a single expression

Write it as a difference of cubes

Write it as two sets of parentheses

-1 and 12

2 and 6

3 and 3

4 and 4

-1

1

12

0

(x + 3)(x - 4)

(x + 2)(x - 6)

(x - 3)(x + 4)

(x - 2)(x + 6)

The axis of symmetry

The Y-intercept

The vertex of the function

The X-intercepts

3 and -4

-3 and 4

2 and -6

-2 and 6

The lowest point on the graph

The highest point on the graph

A point where the graph crosses the X-axis

A point where the graph crosses the Y-axis

1

-1

2

0

It becomes a circle

It becomes a straight line

It opens upwards

It opens downwards