Quadratic Functions

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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


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