Intercept Standard and Vertex Form Unit 1 Solving

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Intercept, Standard, and Vertex Form Unit 1: Solving Intercept Form Converting Standard and Vertex

Intercept, Standard, and Vertex Form Unit 1: Solving Intercept Form Converting Standard and Vertex Form

Different Ways to Write a Quadratic § Standard Form § Y = ax 2

Different Ways to Write a Quadratic § Standard Form § Y = ax 2 + bx + c § Vertex x = –b/2 a, plug in to find y § Vertex Form § Y = a(x – p) (x – q) § § The x-intercepts are p and q Axis of symmetry is the midpoint of p and q § Intercept Form § Y = a(x – h)2 + k § Vertex at (h, k)

Intercept Standard § Write the Equation In Standard Form § Ex 1: Y =

Intercept Standard § Write the Equation In Standard Form § Ex 1: Y = -(x + 4) (x – 9) § FOIL § -(x 2 -9 x +4 x – 36) § -(x 2 -5 x – 36) § Multiply § –x 2 + 5 x + 36

Intercept Standard § Ex 2: Write the Equation in Standard Form -2(x + 4)(x

Intercept Standard § Ex 2: Write the Equation in Standard Form -2(x + 4)(x – 3) § Foil § -2(x 2 -3 x + 4 x – 12) § Multiply § -2(x 2+ x - 12) § -2 x 2 -2 x + 24

Vertex Standard § EX 1: Convert to Standard form 3(x – 1)2 + 8

Vertex Standard § EX 1: Convert to Standard form 3(x – 1)2 + 8 § Foil § 3 (x - 1) (x -1) + 8 § 3 (x 2 – 1 x + 1) + 8 § 3(x 2 – 2 x + 1) + 8 § Multiply § 3 x 2 – 6 x + 3 + 8 § Add § 3 x 2 – 6 x +11

Vertex Standard § You try…. § EX 2: Convert to standard form § §

Vertex Standard § You try…. § EX 2: Convert to standard form § § Y = (x+ 2)2 – 7 Foil (x +2) (x+2) – 7 (x 2 + 2 x + 4) – 7 (x 2 + 4 x +4) - 7 § Add/subtract § x 2 +4 x -3

Standard vertex § Y = x 2 – 2 x – 1……… y =

Standard vertex § Y = x 2 – 2 x – 1……… y = a(x-h)2 + k § h: Calculate (-b/2 a) § -(-2) = 2 = 1 2(1) 2 § k: plug answer (-b/2 a) into equation § Y = (1)2 -2(1) – 1 § Y = 1 – 2 – 1 = -2 § a: “a” is the original “a” from standard form § a=1 § Rewrite Equation: § Y = 1(x – 1)2 -2

Standard vertex § Y = 2 x 2 – 12 x + 19……… y

Standard vertex § Y = 2 x 2 – 12 x + 19……… y = a(x-h)2 + k § h: Calculate (-b/2 a) § -(-12) = 12 = 3 2(2) 4 § k: plug answer (-b/2 a) into equation § Y = 2(3)2 -12(3) + 19 § Y = 18 – 36 +19 = 1 § a: “a” is the original “a” from standard form § a=2 § Rewrite Equation: § Y = 2(x – 3)2 + 1

VERTEX FORM Vertex Form Vertex form is anotherVERTEX FORM Vertex Form Vertex form is another
Intercept Problems Intercept Problems AGENDA Intercept Problem ObjectivesIntercept Problems Intercept Problems AGENDA Intercept Problem Objectives
Topic Slope Intercept Form Vocabulary Slope intercept formTopic Slope Intercept Form Vocabulary Slope intercept form
Slope Intercept Form l Slope Intercept form ySlope Intercept Form l Slope Intercept form y
Vertex and Intercept Form of Quadratic Function StandardVertex and Intercept Form of Quadratic Function Standard
STANDARD FORM STANDARD FORM For standard form equationsSTANDARD FORM STANDARD FORM For standard form equations
Vertex Form Quadratic Function in Vertex Form yVertex Form Quadratic Function in Vertex Form y