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Part 2:    • [May SAT Math] Every Type of Parabola...  
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Welcome to today’s video on Parabola/quadratics. We are going to go over the 3 types of questions you must know to answer all the parabola/quadratics questions on the SAT.

Type 1: Definition of the root / Finding roots
What you need to know - Recognize that when the equation is set equal to zero, the solution is referring to the root/x-intercepts. (When y=0, it’s referring to the x-intercepts)
How to recognize - Equation with a highest power to the 2.
What to be aware of - There are two ways to find the roots - factoring & quadratic formula. Always use factoring and only use the quadratic formula when the answer choices have radical and/or +/- in it.

Type 2: Sum of the roots
What you need to know - the equations for sum (-b/a) and product (c/a)
How to recognize - The question will directly ask you to find the sum / product of the solution.
What to be aware of - When asked to find a sum/product DO NOT FIND EACH SOLUTION INDIVIDUALLY. You will eventually get the answer, but It’s a huge waste of time

Type 3: Number of roots
What you need to know - You can find the # of roots a parabola has via discriminants (b^2-4ac).
How to recognize - The question will either say that the parabola has “no solution” “one solution” or “two solutions.” Remember, you can only use discriminants for a PARABOLA. Similar question will show up for two lines, but you can’t use discriminant for lines (it doesn’t have a,b,c to plug into the discriminant formula.
What to be aware of:
1. Don’t use it for the line.
2. There are two types of discriminant questions the SAT asks for. Finding the # of roots is the first type, the second type is finding the number of intersection between line and a parabola. The second type is covered in the lecture link above.
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Where did you study - Emory University
What did you major in - Economics & Psychology
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