SWBAT solve quadratic equations ax 2 bx c

SWBAT… solve quadratic equations, ax 2 + bx + c Wed, 2/8 Agenda 1. Warm-up (10 min) 2. Solving quadratic equations, ax 2 + bx + c (20 min) Warm-Up: 1. Factor: 6 a 2 b 3 – 3 a 2 b 2. Solve: g 2 – 15 g = -50 3. Find all zeros for the function f(x) = x 2 – 3 x – 70 HW 5: Factoring Trinomials: ax 2 + bx + c

Factoring Trinomials: ax 2 + bx + c n. A function is shown. Find all zeros for the function. f(x) = 2 x 2 – 6 x – 8 n Always look for a GCF of a polynomial before you factor.

Factoring Trinomials: ax 2 + bx + c n. A function is shown. Find all zeros for the function. f(x) = 3 x 2 – 10 x + 7

Factoring Trinomials: ax 2 + bx + c n Solve: 2 x 2 – 5 x – 12 = 0

Real-life Example: A ten-inch firework shell is fired from ground level. The height of the shell in feet upon being fired is modeled by the formula h = -16 t 2 + 263 t, where t is the time in seconds from being launched. a. ) Write the expression that represents the height in factored form. b. ) At what time will the height be 0? Is this answer practical? Explain. c. ) What is the height of the shell 8 seconds and 10 seconds after being fired? d. ) At 10 seconds, what do we know about the shell’s path?

SWBAT… solve quadratic equations Agenda 1. Warm-up (10 min) 2. Quiz (30 min) Warm-Up: 1. Solve: 2 4 x – 12 x + 5 = 0 Fri, 2/10

Vertical Motion Model A model for the vertical motion of a projected object is given by h = -16 t 2 + vt + ho h is the height in feet t is the time in seconds v is the initial velocity in feet per second ho is the initial height in feet

Ken throws the discus at a school meet. The equation h = -16 t 2 + 95 t + 6 models the throw. a. What is the initial height of the discus? b. What is the initial velocity of the discus? c. After how many seconds does the discus hit the ground? h= 2 -16 t + vt + ho