# Week 14 – precalculus 11

This week in precalculus 11 I learned about Rational Expression. It was an easy and short lesson.

Here is an example:

# Week 13 – precalculus 11

This week in precalculus 11 I learned about solving absolute value algebraically.

Here is an example:

# Week 12 – precalculus 11

This week in precalculus 11, I learned about solving systems of equation algebraically. Here is an example:

# Week 11 – precalculus 11

this week in precalculus 11 I learned about solving quadratic inequalities in one variable.

Here is an example:

# Week 10- precalculus 11

For the midterm, I reviewed everything that I have learned till now. One thing that I was reviewing that was not blogged about previously is a common difference. Here is an example:

# Week 9 – precalculus 11

This week in pre-calculus 11 I learned about modeling problems with quadratic function. I was a little bit confused about how to solve that kind of questions but after few practicing, I learned how to solve those questions.

Here is an example:

# Week 8 – precalculus 11

This week in precalculus11 I learned about analyzing the quadratic function of the form $y=a(x+p)^2+q$.  Each of these words represents something on the graph.

a is the coefficient. It shows the stretch or compression of the parabola. If a > 0 parabola becomes skinnier, and if a < 1the parabola becomes wider. Also, a shows whether the parabola opens up or reflect down.

P represents horizontal translation.

q represents vertical translation.

Here is an example:

# Week 7 – precalculus 11

This week in precalculus 11 I learned about discriminant. It was an easy lesson. The expression $b^2-4ac$, is called discriminant of the quadratic equation because it discriminates among the types of possible solution. Here is an example:

calculate the value of the discriminant of this quadratic equation.

$2x^2-8x-4=0$

first step: write down the equation first $b^2-4ac$

second step: write down what is a, b and c

a= 2       b=-8    c= 4

third step: put everything in the equation

$(-8)^2-4(2)(-4)$

64+32=96

this equation has two real roots so 97> 0

# Week 6 – precalculus 11

.This week in precalculus 11 I learned about the quadratic equation. At first, it was a little bit confusing but after memorizing the song for quadratic formula, that was easier for me to solve quadratic equations.

Here is the formula:

Here is an example:

# Week 5 – precalculus 11

This week in pre-calculus 11 we learned about factoring polynomials. I had a little bit of problem to factor fractions.

Here is the example;