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In Precalc this week we learned how to solve quadratic inequalities. When its greater than or equal to and less than or equal to, the line is solid. And when it’s just <,> the line is dashed. Then you have to shade one side of the line, to figure out which side to shade use a test point, you can generally use the point (0,0). If it’s true shade the side with that coordinate, if not shade the other side.
This week in pre-calculus we were reviewing for our midterm. There was a lot I had to re-learn this week but the one thing I struggled with the most was how to solve quadratic equations and putting it into the quadratic formula.
Example: 
This week in pre-calculus we learned how to change an equation into general form to vertex form and vise versa. By changing it we get more information about the different key points on the graph which makes it easier to graph the equation.
To do this we need to complete the square.
Ex/ 
Read Article: Here
The other day, I was having a conversation with my friend about how you can adopt a coral. This was my first time hearing about it which made me want to learn more. I found this article titled “Coral Reefs: we continue to take more than we give.” I really enjoyed how the author was very straight to the point and informative. Coral reefs house 25% of all marine life, it offers food, medicine and environmental protection, it reduces the damage of storms. The article indicates that coral reefs are slowly degrading because of climate change, ocean acidification, destructive fishing and multiple other reasons. We are constantly being told lately, especially in the media of how our Earth is slowly dying, but it’s rare for anyone to be informed on what we can do to help prevent it. By adopting a coral it’s a contribution to help our earth. The reefs are contaminated by over 11 billion pieces of plastic, leading to coral diseases. If greater action is not taken, we will lose all our reefs along with many marine species by 2050. When adopting a coral they plant a new one were the dead coral is to help it regrow. This article illustrates the importance of our reefs.
This week in precalc we learned about the key points in standard form/vertex form and how to use them to graph a quadratic equation.
the equation is
The coefficient a shows the stretch of the parabola if a = 1 its the 1-3-5 pattern, if a>1 the parabola gets skinner and if |a|<1 it gets wider. If a has a negative sign in front of it that means that it opens downwards.
The p is the horizontal translation, it shows if it moves to the right or the left of the graph. When it +p it’s moved to the left, but when it’s -p it’s moved to the right.
The q is the vertical translation, when its positive it’s moved upwards and when it’s negative it’s moved down the graph.
Also we can find the vertex it’s (p,q)
