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Int. 2 Chapter 4

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
The graph of a quadratic equation is a ______   parabola  
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When a is positive, the parabola opens ____   up  
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When a is negative, the parabola opens _____   down  
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When a is positive, the vertex is a _________   minimum  
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When a is negative, the vertex is a _________   maximum  
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What is the standard equation for a parabola?   y = ax^2 + bx + c  
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c is the _________   y -intercept  
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The line of symmetry always goes through the ____   vertex  
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What is the formula for the line of symmetry?   x = -b/(2a)  
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To find the vertex, you...   find the line of symmetry, then plug that value into the equation.  
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Quadratic equation in transformation form:   y = a(x-h)^2 + k  
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Find the coordinates of the vertex: y = 3(x - 4)^2 + 1   (4, 1)  
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What method would you use to solve 4x^2 - 7 = 21   solve by undoing  
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What are the two methods used for factoring (in this class)?   double rainbow and box method  
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What is the zero product property?   if ab = 0, then either a = 0 or b = 0  
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What is the quadratic formula?   x = (-b +/- sqrt(b^2 - 4ac)) / (2a)  
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What is the formula for the discriminant?   b^2 - 4ac  
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How many solutions are there if the discriminant is positive?   2 real solutions  
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How many solutions are there if the discriminant is zero?   1 real solution  
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How many solutions are there if the discriminant is negative?   No Real solutions  
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i^2 = ______________   -1  
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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  
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How do you multiply two binomials?   Use the FOIL acronym to help you remember all four products.  
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How would you solve 3x^2 + 4x - 4 = 0?   Either quadratic formula or factoring  
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What does it mean if the discriminant is a perfect square?   It can be factored.  
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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.  
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