7.5 Vertex Form of Quadratic

7.5 Vertex Form of Quadratic Today’s Date: 1/17/12

Vertex Form Standard Form: Vertex Form:

Find the Vertex Ex 1) Outside Parenthesis → Same Sign Inside Parenthesis → Opp. Sign Ex 2) Ex 3)

Ex 4) Graph 1) Which way does it open? Wide or skinny? “a” = (–) – opens DOWN │-2│> 1 → skinny 2) Vertex: 3) (A of S): 4) MAX or MIN? MAX 5) Extreme value: (y part of vertex)

Ex 4 cont… ( , 0) 7) y-int: 6) x-int:

Ex 4 cont… • Graph • Use the A of S • Normal: Right 1 Up 1 • a = -2: Right 1 Down 2 • Left 1 Down 2 • From Vertex (-3, 5)

Converting SF → VF Complete the Square!! Ex 5) Move constant Factor out coeff on x2 Cut middle term in half & square it → Add to both sides of = CAREFUL!!! Added 3(1) not 1!! Write as perfect square Move constant back over Vertex? Extreme Value?

Convert to Vertex Form Ex 6) Vertex? Extreme Value?

Homework #709 Pg. 330 Oral Ex. 1 – 14 Pg. 336 (Directions: SF → VF & ID Vertex & Extreme Value) 7, 9, 11, 14, 15

7.5 Vertex Form of Quadratic

7.5 Vertex Form of Quadratic

Presentation Transcript

5.2: Vertex Form

Vertex and Intercept Form of Quadratic Function

General Form to Standard Form OR Vertex Form

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Vertex Form

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5.2.1 – Vertex and Intercept Form

Vertex Form

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Section 5-2: Graphing Quadratic Functions in Vertex or intercept form

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7.5 Graphing Parabolas (Standard Form)

Equations in Quadratic Form

1.2 Graphing Quadratic Functions In Vertex or Intercept Form

Chapter 4 Section 2 Graphing Quadratic Functions in Vertex or Intercept Form

VERTEX FORM

VERTEX Form of Quadratic Functions