<p>Solving Quadratic Equations HW22 (5.5) ______I will be able to solve a quadratic by using the quadratic formula. Name Per _____ b 2  4 ____ 1.) Fill in the blanks. The quadratic formula is : x  2a Solve each equation using the quadratic formula. Give exact solutions. 2.) x 2  6x  0 3.) x 2  3x 1  0 4.) x 2  5x  6  18</p><p>5.) 4x 2  8x  3 6.) 5x 2  2x  3  0 7.) x 2 10x  5</p><p> b The axis of symmetry for a quadratic can be found with the formula x = . Find the axis of 2a symmetry and the vertex for each parabola. 8.) y =  2x 2  8x 14 9.) y =  x 2  6x  2</p><p>10.) A professional pyrotechnician shoots fireworks vertically into the air from the ground with an initial velocity of 192 feet per second. The height in feet of the fireworks is given by H(t) = 16t 2 192t </p><p> a.) How long does it take for the fireworks to reach their maximum height (what is the value of t at the vertex)?</p><p> b.) What is the maximum height of the fireworks? The discriminant is found by the formula b 2  4ac and tells what types of solutions there are for a quadratic. Tell what type of solutions these quadratics have. 11.) x 2  2x 1  0 12.) x 2  3x 1  0 Solve the equations by apply the zero product property (factoring). 13.) x 2  2x  24  0 14.)3x 2  5x  2  0 15.) t 2  9  0</p><p>Solve the following by completing the square. 16.) x 2  7x  26  0 17.) x 2  4x  6  0</p><p>18.) Sketch a graph of y  x 2  4x  3 by finding the vertex and the zeros. </p><p>MCA Review x 2  5x 19.) The braking distance of Samir’s car is modeled by the equation y  where x is 200 the cars speed in kilometers per hour and y is the braking distance in meters. </p><p>How fast was the car traveling when the braking distance is 75 meters? a.) 30 km/hr b.) 50 km/hr c.) 55 km/hr d.) 120 km/hr</p>