WARM UP•A true rebel, Leslie often did what

was ------- simply to demonstrate her inclination to defy taboos.• (A) intrepid (B) monotonous• (C) customary (D) arduous• (E) forbidden

Warm Up• Salt Ais valued not only because of

its properties Bas a condiment and preservative, Cbut it is Dessential to the health of humans and animals. ENo error• (A) (B) (C) • (D) (E)

Algebra 3

Chapter 5Lesson 8

Modeling with Quadratic Functions

VOCAB

• Vertex Form – • Intercept Form – • Standard Form –• Vertex – (h, k)

y ax 2 bx c

y a(x p)(x q)

y a(x h)2 k

Directions (VERTEX and INTERCEPT FORM)

• Plug all given info into the equation• Solve for a• Rewrite the equation

I DO (VERTEX Form)

• Write a quadratic function for the given info1. Vertex (2, -3) and point (4, 1)2. Vertex (2, -1) and point (4, 3)3. Vertex (-4, 6) and point (-1, 9)4. Vertex (4, 5) and point (8, -3)

WE DO (VERTEX Form)

• Write a quadratic function for the given info1. Vertex (0, 0) and point (-2, -12)2. Vertex (1, -10) and point (-3, 54)3. Vertex (-6, -7) and point (0, -61)4. Vertex (1, 3) and point (-1, -1)

YOU DO (VERTEX Form)

• Write a quadratic function for the given info1. Vertex (2, -2) and point (0, 2)2. Vertex (-1, 4) and point (-2, 2)3. Vertex (1, 0) and point (-1, -3)

HOMEWORK

• 5.8 (1-9)

Directions

• Plug all given info into the equation• Solve for a• Rewrite the equation

I DO (INTERCEPT Form)

• Write a quadratic function for the given info1. p = -2 q = 3 point (-1, 2)2. p = 3 q = -3 point (1, -4)3. p = -2 q = 1 point (-1, -6)4. p = 0 q = 4 point (3, 3)

WE DO (INTERCEPT Form)

• Write a quadratic function for the given info1. p = 1 q = 4 point (3, 2)2. p = -2 q = 2 point (-4, 8)3. p = -1q = 6 point (1, -20)

YOU DO (INTERCEPT Form)

• Write a quadratic function for the given info1. p = 3 q = 9 point (14, 77)2. p = -5 q = 0 point (-3, 18)3. p = -10 q = -8 point (-7, -15)

HOMEWORK

• 5.8 (1-9) Vertex• 5.8 (10 – 18) Intercept

Warm Up

Directions (STANDARD FORM)

• Plug each point in – Simplify• YOU will get 3 different equations

• Solve the system of 3 equations• Rewrite your equation

I DO (Standard Form)

Write a quadratic function in standard form that goes through the 3 points• 1. (-1 , 2) (0 , 4) (3 , -2)• 2. (2 , 7) (3 , 2) (5 , 4) • 3. (-5 , -4) (-4 , 0) (0 , 1)• 4. (-1 , 5) (0 , 3) (3 , 9)

WE DO (Standard Form)

Write a quadratic function in standard form that goes through the 3 points• 1. (1 , 2) (3 , 4) (6 , -8)• 2. (-2 , -1) (1 , 11) (2 , 27) • 3. (-4 , -7) (-3 , 3) (3 , -21)• 4. (-3 , -4) (-1 , 0) (9 , -10)

YOU DO (Standard Form)

Write a quadratic function in standard form that goes through the 3 points• 1. (-6 , 46) (2 , 14) (4 , 56)• 2. (-4 , 2) (-2 , -4) (1 , 2) • 3. (-2 , 0) (-1 , 2) (3 , 0)

REVIEW

• Over the past week we learned how to model a quadratic equation.

HOMEWORK

• 5.8 B (19 – 27)