Check Your Understanding C) Practise 1. Which functions are quadratic? Explain. a) f(x) = 2x2 + 3x b) f(x) = 5 - 3x 8- c) f ( x) = x(x + 2)(4x - 1) 6 d) f(x) = (2x - 5)(3x - 2) 2. For each graph, identify the following: . the coordinates of the vertex N . the equation of the axis of symmetry . the x-intercepts and y-intercept 6 XV the maximum or minimum value and how it is related to the direction of opening . the domain and range 3. Show that each function fits the definition of a quadratic function by writing it in a) standard form. a) f(x) = 5x(10 - 2x) 6 4 -2 0 2 b) f (x) = (10 - 3x)(4 - 5x) 4. Create a table of values and then sketch the graph of each function. Determine the vertex, the axis of symmetry, the direction of opening, the maximum or minimum value, the domain and range, and any intercepts. a) f (x) = x2 - 2x - 3 b) b) f (x) = -x2 + 16 c) p(x) = x2 + 6x d) g(x) = -2x2 + 8x- 10 5. Use technology to graph each function. 4 Identify the vertex, the axis of symmetry, the direction of opening, the maximum or minimum value, the domain and range, 2 0 6 8 10 12 X and any intercepts. Round values to the nearest tenth, if necessary. a) y = 3x2 + 7x- 6 b) y = -2x2 + 5x +3 c) y = 50x - 4x2 d) y = 1.2x2 + 7.7x + 24.3