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17 Cards in this Set

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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
x-intercepts (there may be 0, 1, or 2 x-intercepts)
y-intercept (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 U-shaped curve opening upwards
B. a U-shaped 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 U-shaped curve opening upwards
B. a U-shaped curve opening downwards
B
coefficient of the x^2 term is negative
x coordinate for vertex
x= -b / 2a
f(x) = -3x^2-6x-3
x = ?
x= -(-6) / 2(-3)
x= -1