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(Quadratic Function, Function Foundations, Solving Linear Systems, Linear…
Quadratic Function
A function that can be written in the form:
f(x) = a (x - h)^2 + k
a = reflection across the x-axis and/or a vertical stretch or compression;
h = horizontal translation;
k = vertical translation
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vertex form- a,h,k are constants
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Function Foundations
It can be showed as a set of ordered pairs like (x,y) X being the input and Y being the output
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The key properties of a function can either be increasing, decreasing or constant.
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extend their skills to inequalities, linear equations, functions, exponent properties, systems of linear equations, and variable expressions.
Solving Linear Systems
Definition: a system of equations containing only linear equations which are representing lines on a graph
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Linear Function
Given a linear function in slope-intercept form, the slope is immediately known from the m coefficient.
Linear function: First degree polynomial, graph is a straight line.
a linear function is a map f between two vector spaces s.t. Here a denotes a constant belonging to some field K of scalars (for example, the real numbers) and x and y are elements of a vector space, which might be K itself.
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Isolate the variable. In this case, you add 1 to both sides to isolate the variable term by using the opposite operation to move the constant term across the equal sign. ...
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