Question 1, 2, 3ae, 4bf, 5, 6

check Your Understanding practise 1. How many x-intercepts does each quadratic function graph have? 3. Solve each equation by graphing the corresponding function. (e a) 0 = x2 - 5x - 24 b) 0 = -272 - 6r c) h + 2h +5 =0 d) 5x2 - 5x = 30 e) -z2 + 42 = 4 f) 0 = 12 + 4t + 10 4. What are the roots of each quadratic b ) equation? Where integral roots cannot 1 x ) = x2 5 x 4 be found, estimate the roots to the nearest tenth. 16 4 -2 0 XV a) n2 - 10 = 0 b) 0 = 3x2 + 9x - 12 c) 0 = -W2+ 4w-3 d) 0 = 2d2 + 20d + 32 e) 0 = v2 + 6v+6 ( ) f) m2 - 10m = -21 Apply 5. In a Canadian Football League game, the 141 path of the football at one particular 1( x ) = X2 + 2x + 4 kick-off can be modelled using the 6 4 2 0 2 x function h(d) = -0.02d2 + 2.6d - 66.5, where h is the height of the ball and d is d) LA(X ) the horizontal distance from the kicking 4- team's goal line, both in yards. A value of h(d) = 0 represents the height of the ball at ground level. What horizontal 4 0 4 8 12 XV distance does the ball travel before it hits the ground? 8 f ( x ) = 0.25 x 2 - 1.25 x - 6 6. Two numbers have a sum of 9 and a product of 20. a) What single-variable quadratic equation 2. What are the roots of the corresponding in the form ax2 + bx + c = 0 can be quadratic equations represented by the used to represent the product of the graphs of the functions shown in #1? two numbers? Verify your answers. TwonineY bid b) Determine the two numbers by graphing the corresponding quadratic function