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17 Cards in this Set
 Front
 Back
A quadratic function f is a function in the form of:

f(x) = ax^2 + bx + c


A quadratic function requires
a, b and c are _____ numbers and a is not equal to ____. 
real numbers
zero 

The graph of the quadratic function is called a _________.

parabola


A parabola is _____ shaped curve that may open up or down depending on the sign of the ______________ __.

U
coefficient a 

Three pieces information needed about a parabola:

vertex
xintercepts (there may be 0, 1, or 2 xintercepts) yintercept (there is always one) 

Direction of parabola is determined by

a = positive = up
a = negative = down 

The highest exponent in a quadratic function is

2


In f(x) = ax^2 + bx + c, the letters a, b, and c are called:

coefficients


Quadratic equations are so called because 'quadratus' is Latin for _________ and the leading term is __________.

square
squared 

Vertex

lowest point or highest point of a parabola


Maximum point vertex means ...

parabola direction is downward.


Minimum point vertex means ...

parabola direction is upward.


Which of the following is not a quadratic function and why?
A. y = 3x^2 B. y = 4x^3 + 3x^2 + 2x + 1 C. y = −3x^2 + 2x + 4 D. y = −x^2 
B
highest power is a 3 

Which of the following best describes the graph of:
y = x^2 − 2x + 3? A. a Ushaped curve opening upwards B. a Ushaped curve opening downwards 
A
coefficient of the x^2 is positive 

Which of the following best describes the graph of
y = −x^2? A. a Ushaped curve opening upwards B. a Ushaped curve opening downwards 
B
coefficient of the x^2 term is negative 

x coordinate for vertex

x= b / 2a


f(x) = 3x^26x3
x = ? 
x= (6) / 2(3)
x= 1 