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Quadratics

Int. 2 Chapter 4

QuestionAnswer
The graph of a quadratic equation is a ______ parabola
When a is positive, the parabola opens ____ up
When a is negative, the parabola opens _____ down
When a is positive, the vertex is a _________ minimum
When a is negative, the vertex is a _________ maximum
What is the standard equation for a parabola? y = ax^2 + bx + c
c is the _________ y -intercept
The line of symmetry always goes through the ____ vertex
What is the formula for the line of symmetry? x = -b/(2a)
To find the vertex, you... find the line of symmetry, then plug that value into the equation.
Quadratic equation in transformation form: y = a(x-h)^2 + k
Find the coordinates of the vertex: y = 3(x - 4)^2 + 1 (4, 1)
What method would you use to solve 4x^2 - 7 = 21 solve by undoing
What are the two methods used for factoring (in this class)? double rainbow and box method
What is the zero product property? if ab = 0, then either a = 0 or b = 0
What is the quadratic formula? x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
What is the formula for the discriminant? b^2 - 4ac
How many solutions are there if the discriminant is positive? 2 real solutions
How many solutions are there if the discriminant is zero? 1 real solution
How many solutions are there if the discriminant is negative? No Real solutions
i^2 = ______________ -1
How is the graph of y = 2x^2 translated to produce the graph of y = 2(x - 5)^2 - 1 ? Right 5 units, down 1 unit
How do you multiply two binomials? Use the FOIL acronym to help you remember all four products.
How would you solve 3x^2 + 4x - 4 = 0? Either quadratic formula or factoring
What does it mean if the discriminant is a perfect square? It can be factored.
How can you study for this test? Watch youtube videos. Re-do problems from quizzes and homework. Try a quadratics review game on the internet.
Created by: cp math
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