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Chapter 5: Quadratic Functions (pp. 272
– 351)
It is the goal of the instructor that the students will:
·
convert between the general and
standard (h-k) forms of a quadratic equation
·
identify the vertex, axis of
symmetry, minimum/maximum, domain, range, and end behavior of a quadratic
equation
·
calculate the rate of change and
the y-intercept of a quadratic equation and explain their meaning in a
real-world context
·
convert between the written,
equation, graphic, and tabular form of a quadratic equation
·
compute the quadratic regression
and quadratic interpolation equation and correlation for a set of data and
explain their meaning and applications in a real-world context
·
identify a quadratic pattern in a
table of data
·
simplify and solve quadratic
equations and inequalities using factoring, the quadratic formula, completing
the square and taking the square root, the sign-pattern method, and graphing
·
identify and apply the relationship
between roots and factors
·
identify and factor/multiply the
special cases involving the difference of two perfect squares and perfect square
trinomials
·
identify the transformations a
quadratic equation would go through compared to its parent equation
·
derive (prove) the quadratic
formula
·
identify the discriminant of a
quadratic equation and use it to classify the roots of the equation
·
add, subtract, multiply, divide,
and compute the conjugate of complex numbers
·
graph a complex number on the complex plane and
calculate its modulus |
Homework |