Chapter 5: Exercises with Solutions

Section 5.4 The Quadratic Formula 4975.4 ExercisesIn Exercises 1-8, find all real solutionsof the given equation. Use a calculator toapproximate the answers, correct to thenearest hundredth (two decimal places).1. x 2 = 362. x 2 = 813. x 2 = 174. x 2 = 135. x 2 = 06. x 2 = −187. x 2 = −128. x 2 = 3In Exercises 9-16, find all real solutionsof the given equation. Use a calculator toapproximate your answers to the nearesthundredth.9. (x − 1) 2 = 2510. (x + 3) 2 = 911. (x + 2) 2 = 012. (x − 3) 2 = −913. (x + 6) 2 = −8114. (x + 7) 2 = 1015. (x − 8) 2 = 1516. (x + 10) 2 = 37In Exercises 17-28, perform each of thefollowing tasks for the given quadraticfunction.i. Set up a coordinate system on a sheetof graph paper. Label and scale eachaxis. Remember to draw all lines witha ruler.ii. Place the quadratic function in vertexform. Plot the vertex on your coordinatesystem and label it with itscoordinates. Draw the axis of symmetryon your coordinate system andlabel it with its equation.iii. Use the quadratic formula to find thex-intercepts of the parabola. Use acalculator to approximate each intercept,correct to the nearest tenth, anduse these approximations to plot thex-intercepts on your coordinate system.However, label each x-interceptwith its exact coordinates.iv. Plot the y-intercept on your coordinatesystem and its mirror image acrossthe axis of symmetry and label eachwith their coordinates.v. Using all of the information on yourcoordinate system, draw the graph ofthe parabola, then label it with thevertex form of the function. Use intervalnotation to state the domainand range of the quadratic function.17. f(x) = x 2 − 4x − 818. f(x) = x 2 + 6x − 119. f(x) = x 2 + 6x − 320. f(x) = x 2 − 8x + 121. f(x) = −x 2 + 2x + 101Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/Version: Fall 2007