Ch. 18 & 21 Review #2 Enjoy! Find the value(s) of x that satisfy the quadratic equation. ( )( ) 1. 0 = 9 x +3 x -2 2. x 2 -7x +12= 0 3. 9x 2 +12x -5 = 0 Identify the vertex and axis of symmetry for each quadratic function below. ( ) 2 4. y = x - 4 + 6 ( ) 2 5. y = x +1 - 2 Rewrite the equation in vertex form. Then identify the vertex and axis of symmetry. 6. y = x2 +16x -10 7. y = 2x2 + 8x - 7 Write an equation for each parabola shown, using the fact that one of its points is the vertex. 8. 9. Write an equation for the quadratic function whose graph contains the given vertex and point. 10. Vertex (2, -5); Point (-4, 31) 11. Vertex (5, 1); Point (3, 13) Find the x- and y-intercepts of the function. Graph each function. If a > 0, find the minimum value. If a < 0, find the maximum value. 12. y = -x 2 +2x +3 13. y = x 2 +2x +1 ( ) 2 14. y = 2 x -2 -6 ( )( ) 15. y = -2 x +1 x -2 16. y = -x 2 +2 17. The difference between a number and its positive square root is 12. Find the number. 18. The hypotenuse of a right-angled triangle is 20 cm. The difference between its other two sides is 4 cm. Find the length of the sides. 19. The area of a rectangular field is 2000 sq.m and its perimeter is 180 m. Find the length and width of the field. 20. A distributor of apple juice has 5000 bottles in the store that it wishes to distribute in a month. From experience, it is known that demand D is given by D = -2000p² + 2000p + 17000. Find the price per bottle that will result zero inventory.