Chapter 5: Exercises with Solutions

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434 Chapter 5 Quadratic Functions17. f(x) = − 7 818. f(x) = − 1 219. f(x) = − 2 9(x + 1 ) 2+ 2 4 3(x − 3 ) 2− 5 8 7(x + 2 ) 2− 4 3 520. f(x) = −7(x + 3) 2 + 921. f(x) = − 8 7(x + 2 ) 2+ 6 9 522. f(x) = 3(x + 3) 2 + 6In Exercises 23-36, perform each of thefollowing tasks for the given quadraticfunction.i. Set up a coordinate system on graphpaper. Label and scale each axis.ii. Plot the vertex of the parabola andlabel it with its coordinates.iii. Draw the axis of symmetry and labelit with its equation.iv. Set up a table near your coordinatesystem that contains exact coordinatesof two points on either side of the axisof symmetry. Plot them on your coordinatesystem and their “mirror images”across the axis of symmetry.v. Sketch the parabola and label it withits equation.vi. Use interval notation to describe boththe domain and range of the quadraticfunction.23. f(x) = (x + 2) 2 − 324. f(x) = (x − 3) 2 − 427. f(x) = (x − 3) 228. f(x) = −(x + 2) 229. f(x) = −x 2 + 730. f(x) = −x 2 + 731. f(x) = 2(x − 1) 2 − 632. f(x) = −2(x + 1) 2 + 533. f(x) = − 1 2 (x + 1)2 + 534. f(x) = 1 2 (x − 3)2 − 635. f(x) = 2(x − 5/2) 2 − 15/236. f(x) = −3(x + 7/2) 2 + 15/4In Exercises 37-44, write the given quadraticfunction on your homework paper,then use set-builder and interval notationto describe the domain and therange of the function.37. f(x) = 7(x + 6) 2 − 638. f(x) = 8(x + 1) 2 + 739. f(x) = −3(x + 4) 2 − 740. f(x) = −6(x − 7) 2 + 941. f(x) = −7(x + 5) 2 − 742. f(x) = 8(x − 4) 2 + 343. f(x) = −4(x − 1) 2 + 244. f(x) = 7(x − 2) 2 − 325. f(x) = −(x − 2) 2 + 526. f(x) = −(x + 4) 2 + 4Version: Fall 2007
Section 5.1 The Parabola 435In Exercises 45-52, using the given valueof a, find the specific quadratic functionof the form f(x) = a(x − h) 2 + k thathas the graph shown. Note: h and k areintegers. Check your solution with yourgraphing calculator.45. a = −2y548. a = 0.5y5x5x549. a = 2y546. a = 0.5y5x5x550. a = −0.5y547. a = 2y5x5x5Version: Fall 2007
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Chapter 5: Exercises with Solutions

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