ALGEBRA II HONORS/GIFTED SECTION 4-5 : QUADRATIC EQUATIONS

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Presentation transcript:

ALGEBRA II HONORS/GIFTED SECTION 4-5 : QUADRATIC EQUATIONS @ SECTION 4-5 : QUADRATIC EQUATIONS

3) 1) 4) 2) We for a little review. Simplify each radical expression. ANSWER : ANSWER : 4) 2) ANSWER : ANSWER : 108

Solve the equation. The solutions are called zeros. 5) x2 + 13x + 22 = 0 8) -8t + 84 = t2 -11, -2 -14, 6 9) Find the value of x if the area of the rectangle is 108. 6) x2 – 4x – 45 = 0 -5, 9 7) m2 = 100 x -10, 10 x = 9 x + 3

x = 5, new dimensions are 20 by 15 10) Garden Problem. Julia has a rectangular vegetable garden in her backyard that measures 15 feet by 10 feet. Julia wants to double the area of the garden by adding the same distance, x, to the length and to the width of the garden. Find the value of x and the new dimensions of Julia’s garden. original area : (15)(10) = 150 new area : (15 + x)(10 + x) = 300 x = 5, new dimensions are 20 by 15

Now, crank up your 11) Solve by factoring. x2 + 7x – 18 = 0 ANSWER : -9, 2 Now, crank up your Clear out all y = and type into y1 = x2 + 7x – 18. Hit <zoom6> and graph. a) What is the name of the figure? ANSWER : parabola b) What are the x-intercepts? ANSWER : -9, 2

ALGEBRA II HONORS/GIFTED - SECTION 4-5 (Quadratic Equations) 8/30/2018 Solve by graphing. Round your answers to 2 decimal places. Use the zeros function of your calculator to assist you. 12) x2 – 3x = 6 ANSWER : -1.37, 4.37 13) 2x2 – x = 11 ANSWER : -2.11, 2.61

a) How far does the ball travel before hitting the ground? 14) Baseball Problem. The flight of a baseball hit by Cameron can be modeled by the function f(x) = -0.002x2 + 0.77x where f(x) = the height of the ball in feet and x = the distance the ball has travelled in feet. a) How far does the ball travel before hitting the ground? ANSWER : 385 feet b) How high does the ball go? ANSWER : about 74 feet SUGGESTED ANSWER : domain 0 < x < 500 range 0 < y < 100 c) What is a reasonable domain and range?

Now…for a little more Calvin and Hobbes