# Week 10 – precalculus 11

Dividing Radical Expressions: Dividing radicals is not as easy as multiplying, though it does include multiplying. We will need to use distributive property and potentially adding to rationlize the denominator. We cannot divide by a radical so we must make the denominator a whole number. We normally multiply the denominator by itself and multiply that […]

# Week 9 – precalculus 11

Equivalent Forms of the Equation of a Quadratic Functions and finding x-ints: If one is given the equation it may seem like there is no way to find the vertex or starting point of the parabola, a line that goes down but then goes back up after a certain point. If we needed to find […]

# Week 8 – precalculus 11

Transforming the Graph of There are three equations:     The first one adds q to the parent function of , this decides the Y intercept and so the parent either goes up or down when this is applied. The second one changes the x intercept and there changes the parabola side to side, if p […]

# Week 7– precalculus 11

Discriminant: This week in precalculus we learned about the discriminant of the quadratic formula and how to use it to find information. By using the formula , we can find the discriminant. This section of the quadratic formula tells us whether a quadratic equation has zero, one, or two roots. We call this the discriminant […]

# Week 6 – precalculus 11

This week in Precalculus 11, we learned how to develop and use the Quadratic Formula. In our learning, quadratic equations take the form of, . If we complete the square of this equation, we get another formula that can be used to determine solutions to any and all quadratic equations written in the same form […]

# Week 5 – precalculus 11

Identifying Extraneous Roots: Extraneous roots are found when a variable discovered after solving an equation is not true if used in the original equation. In other words, it’s a root found by squaring both sides, it is not a root in the equation you started with. To show this, we could use an equation like […]

# Week 4 – precalculus 11

Multiplying Radical Expressions To multiply a radical expression you want to use strategies such as distributive property. This may involve adding radicals too, to add a radical the radicand has to be the same and you will add the coefficients together. When multiplying all we need to do is multiply the coefficients together and the […]

# Week 3 – precalculus 11

Absolute Value: This week we learned about absolute values of real numbers and how they work in equations. An absolute value is always positive. To find the absolute value of -2 the equation would look like this: and to find the absolute value we make the number +2. The number stays the same but it […]

# Week 2 – precalculus 11

Infinite Geometric Series This week we learned how to identify an infinite geometric series and how they work. An infinite geometric series is a sequence of numbers that are being multiplied by the same amount each consecutive time in the sequence and all the numbers are being added together. The common ratio, r, is the […]

# Week 1 – precalculus 11

In my first week of  Pre-Calculus 11 I learned some interesting concepts. However, the concept of an Arithmetic Series intrigued me the most. An Arithmetic Series is the sum of all terms in a sequence in which the numbers are increasing or decreasing by the same amount in the next place in the sequence. This […]