Alg II Ch 3 Test.pdf

Algebra II Chapter 3 Test Name: __________________________________________________ Date: _______________ 1) Which quadratic function has a graph that is shifted right 4, up 2, and opens down 1) when compared to the original y = x2? A) y = -2(x + 4)2 + 2...

Algebra II Chapter 3 Test Name: __________________________________________________ Date: _______________ 1) Which quadratic function has a graph that is shifted right 4, up 2, and opens down 1) when compared to the original y = x2? A) y = -2(x + 4)2 + 2 B) y = - 2(x - 4)2 + 2 C) y = 2(x + 4)2 + 2 D) y = 2(x - 4)2 + 2 2) Which is the graph of y = (x - 3)2 - 1 2) A) B) C) 3) Name the coordinate of the vertex of the graph of y = -2x2 + 8x - 3 3) A) (2, 21) B) (2, 5) C) (-2, -27) D) (-2, -11) 4) Solve by factoring: x2 - 6x + 5 = 0 4) A) 1, 5 B) -1, -5 C) 2,3 D) -2, -3 5) Solve by factoring: 3x2 - 9x = 0 5) A) 0, 3 B) 1, 3 C) -3, 3 D) -3 , 0 6) Solve by factoring: 5x2 - 20 = 0 6) A) 0 B) 2 C) 0, 2 D) -2 , 2 Page 1  7) Simplify: 4 -20 7) A) 8 5i B) -8 5 i C) 16 5 i D) -16 5 i 8) Simplify: -2i 3i -4i 5i 8) A) -120 B) 120i C) -120i D) 120 9) Simplify: i35 9) A) 1 B) -i C) i D) -1 10) Simplify: (-10 + 12i) - (4 - 7i) 10) A) -6 + 5i B) -14 + 5i C) -14 + 19i D) -6 + 19i 11) Simplify: (3 + 2i)(4 - i) 11) A) 14 + 11i B) 12 + 5i C) 12 + 11 i D) 14 + 5i 12) Find the values of m and n that make each equation true. (12 - m) + 20i = 4 - 5ni m = _________ n = _________ 13) Simplify each below. Make sure you reduce your answers and right in the correct form. A) 5 + 4i A) ____________________________ -2i B) 3 + 2i B) ____________________________ 4+i Page 2 14) Find the axis of symmetry and the coordinate of the vertex for the quadratic functions below. You must show your work! y = 4x2 + 3 Axis of symmetry is x = _______ Vertex is ( _____ , _____ ) y = 2x2 - 4x + 4 Axis of symmetry is x = _______ Vertex is ( _____ , _____ ) 15) Writea quadratic equation in the form ax2 + bx + c = 0 where a, b, and c are integers if the roots are - 1 and 2. You must show your work! 4 _____________________________________ 16) Solve each equation by factoring. You must show your work! A. x2 - 8x + 15 = 0 ____________________________ B. 2x2 - 7x - 15 = 0 ____________________________ C. 5x2 - 35x + 60 = 0 ____________________________ D. 15x2 + 19x + 6 = 0 ____________________________ Page 3 17) Solve the equation below by completing the square. You must show your work! x2 - 4x + 5 = 0 _______________________ 18) Solve the each equation by using the quadratic formula. You must show your work! x2 + 8x + 13 = 0 _______________________ 19) Write the equation in vertex form and identify the vertex and direction of opening. You must show your work! y = a(x-h)2 + k A. y = 3x2 - 6x + 5 vertex form: y = __________________ vertex : ( ______ , ______ ) opens : up or down (circle answer) Page 4  two roots (x-intercepts) of the quadratic equation y = x2 - x - 2 by graphing. 20) Find the You must show your work! x-intercepts are ____________________________________ two roots (x-intercepts) of the quadratic equation y = x2 - 6x + 7 by graphing. 21) Find the You must show your work! x-intercepts are ___________________________________ Page 5