Grade 11 foundation for college Please write it in a paper clearly with question numberThank you.

3. Write each relation in standard form. a) y = 5(x - 4)2 + 12 b) y= -6(x + 9)2 - 7 4. Water from the main fountain for your project must reach a maximum height of 20 m after 2 s. The water's path can be modelled Expand and simplify. by the quadratic relation y = -4.912 + vt + h, where y is the water's height, in metres, h is the fountain's height above the ground, in a) (2x + 3)(x + 10) b) (3x + 10)(x + 5) metres, and v is the initial velocity of the water, in metres per second. a) Write the quadratic relation that models the path of the water in vertex form. b) Write the quadratic relation in standard form. ) What is the initial velocity of the water? () What is the maximum height reached by the water? 2. . Write an expression, in simplified form, for the area of this shape. 2x + 1 x+3 2x + 3 x +5 . Factor each trinomial. a) 3x2 - 3x + 18 b) 2x2 - 18x + 28 6. Find the zeros of each quadratic relation. a) y = (x - 5)(x + 3) b) y = (x -4)(x - 1) () y= 5(x - 9)(x - 9) d) y = 3(x - 7)(x + 6)