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: