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Quadratic Graphs

"When we graph quadratic functions, we always get a parabola (or U) shape and symmetry in the table and graph. One easy way to complete quadratic graphs is to make a table of values by plugging in x-v ...

Quadratic Equation Discriminant

"The discriminant is part of the quadratic formula which lies underneath the square root. The quadratic equation discriminant is important because it tells us the number and type of solutions. This in ...

Cube Roots

"A square root is an exponent of one-half. A cube root is an exponent of one-third. Square roots of negative numbers do not have real number roots since the product of any real number and itself is po ...

Quadratic Equation Applications

"In Algebra I and Algebra II, we sometimes need to solve word problems using quadratic equations. When solving word problems, some common quadratic equation applications include projectial motion prob ...

Cramer's Rule

"Sometimes using matrix algebra or inverse matrices to find the solution to a system of linear equations can be tedious. Sometimes it is more convenient to use Cramer's Rule and determinants to solve ...

Proving Inverse Functions

"The definition of a function can be extended to define the definition of an inverse, or an invertible function. It's important to understand proving inverse functions, and the method of proving inver ...

Proportions

"We can find unknown quantities when we know similar ratios for comparison, using proportions. We find proportions often in word problems, for example those involving baking ingredients, and in compar ...

Properties of Real Numbers

"When analyzing data or solving problems with real numbers, it can be helpful to understand the properties of real numbers. These properties of real numbers, including the Associative, Commutative, Mu ...

Probability of Multiple Events

"Slightly more complicated than calculating the probability of an event is calculating the probability of multiple events. The probability of multiple events has different calculations depending on wh ...

Probability of Independent Events

"When calculating the probability of multiple events, we must determine whether the events are dependent or independent. The probability of independent events is slightly less complicated than calcula ...

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