#### Transcript Quadratic Functions

**Slide 1**

Quadratic Functions

By: Cristina V. & Jasmine V.

**Slide 2**

Definition

A quadratic function is a polynomial function

of the form.

Equation: f(x) = ax2 + bx + c

**Slide 3**

Quadratic Equation

f(x) = ax2 + bx + c

where a, b and c are real numbers and a not

equal to zero. The graph of the quadratic

function is called a parabola. It is a U shaped

curve that may open up or down depending on

the sign of coefficient a.

**Slide 4**

Graphs

**Slide 5**

Quadratic Function Graphs

**Slide 6**

Examples

Standard Form: f(x) = y = ax2 + bx + c where

a≠0

f(x) = 3x2 -2x + 5

y = -6x2 + 4x

f(x) = x2 + 7

y = -x2

**Slide 7**

Quadratic Examples

y = 5x² + 2x + 5

y = 11x² + 22

y = x² − 4x +5

y = −x² + 5

**Slide 8**

Quadratic Graph Examples

**Slide 9**

Examples

**Slide 10**

Real World Examples

**Slide 11**

Real World Examples

**Slide 12**

Real World Examples

**Slide 13**

Nature Examples

**Slide 14**

Nature Examples

**Slide 15**

Nature Examples