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Math 2 Unit 3 Test Review – Station 1 Name__________________________________ 1. Let f x 2 x 1 x 3 1a. Find the y-intercept(s) of the function. 1b. 1c. Find the vertex of the function. 1d. Find the x-intercept(s) of the function. f 2 ______ means that the coordinate _____, _____ is on the graph of f x 1e. Does the graph of f x open up or open down? How can you tell? 1g. What is the axis of symmetry for f x ? 1f. Graph the function f x 2. Find the equation of the parabola that has x-intercepts of 3,0 and 2,0 and contains the point 3, 2 . Write your function in the form g x a x m x n OVER Math 2 Unit 3 Test Review – Station 2 Name__________________________________ Multiple Choice. Circle the correct answer. SHOW ALL NECESSARY WORK! 1. Expand and simplify. A) 6b 2 12 2. 4. 5. 6. C) 6b 2 b 12 D) 6b 2 b 12 2 B) 9 x 2 49 C) 9 x 2 42 x 49 D) 9 x 2 42 x 49 Solve the following equation: 3x 2 6 x 2 0 A) x 1 1.291i B) x 0.291 and x 2.291 C) x 5.423 and x 6.577 D) x 0.423 and x 1.577 Which of the following quadratic equations has x-intercepts at 3,0 and 4,0 ? A) y x 3 x 4 B) y x 3 x 4 C) y x 3 x 4 D) y x 3 x 4 Which of the following quadratic equations has a y-intercept of 0, 6 ? A) y x 2 3x 6 B) y x 3 6 C) y x 3 x 2 D) y x 3 x 2 2 Which of the below binomials is a factor of x 2 5 x 6 ? A) x 3 7. B) 6b 2 17b 12 Expand and simplify. 3 x 7 A) 9 x 2 49 3. (2b 3)(3b 4) B) x 2 C) x 6 D) x 1 Which of the below binomials is a factor of 3x 2 x 4 ? A) 3x 2 B) x 1 C) 3x 4 D) x 2 OVER Use the equation below to answer questions 8-10. y 3( x 2)2 10 8. When compared to y = x2, the given function has been vertically _______________. A) compressed 9. 10. B) stretched The vertex is located at A) (-2, 10) B) (-2, -10) C) (2, 10) D) (2, -10) The equation of the axis of symmetry is A) x = 2 B) x = -2 C) y = 2 D) y = -2 Math 2 Unit 3 Test Review – Station 3 Name__________________________________ Solve the following quadratic equations using any method – solving directly, factoring, quadratic formula, or completing the square. Try to choose the most efficient method! 2 If ax bx c 0 , then x 1. x2 4x 3 0 2. 5 x 2 62 3 x 2 12 3. 2 x 2 3x 1 0 b b2 4ac . 2a 4. 2 x 2 7 x 15 0 5. x 2 4 x 20 0 6. 6 x 10 x 2 0 Math 2 Unit 3 Test Review – Station 4 Name__________________________________ Answer the following questions based on the function f x x2 14x 24 1. What is the form of the above equation? 2. What are the other two forms that a quadratic equation can be written? 3. Does the f x open up or open down? How do you know? 4. What is the y-intercept of f x ? 5. Use completing the square to find the vertex of f x 6. Write f x in factored form and use the zero product property to find the x-intercepts. OVER Answer the following questions based on the function g x 4 x2 16 x 15 7. Use completing the square to find the vertex of g x 8. Write g x in factored form and use the zero product property to find the x-intercepts.