Section3.2MarcKrishke

# Section3.2MarcKrishke - Marc Krishke Section 3.2 pp 190-191...

This preview shows pages 1–8. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Marc Krishke Section 3.2 pp. 190-191 problems 1-45 odd 1. y = (x – 4) 2 – 3 The vertex is (4, –3) so the graph is B. 3. y = (x + 4) 2 – 3 The vertex is (–4, –3) so the graph is D. 5. P(x) = x 2 – 2x – 15 (a) P(x) = (x 2 – 2x + 1) – 1 – 15 = (x – 1) 2 – 16 (b) The vertex is (1, –16) (c) P(0) = 0 2 – 2(0) – 15 = –15 The y-intercept is (0, –15). Find the x-intercepts: x 2 – 2x – 15 = 0 x 2 – 5x + 3x – 15 = 0 x(x – 5) + 3(x – 5) = 0 (x – 5)(x + 3) = 0 x – 5 = 0 or x + 3 = 0 x = 5 or x = –3 The x-intercepts are (5, 0) and (–3, 0). Find few points: x-5-4-2-1 2 3 6 7 y 20 9-7-12-15-12 9 20 7. P(x) = –x 2 – 3x + 10 (a) P(x) = –x 2 – 3x + 10 = –(x 2 + 3x – 10) = 2 9 9 3 10 4 4 x x - + +-- 2 2 2 3 9 40 2 4 4 3 49 2 4 3 49 2 4 x x x = - +-- = - +- = - + + (b) the vertex is 3 49 , 2 4 - (c) P(0) = –0 2 – 3(0) + 10 = 10 The y-intercept is (0, 10) Find the x-intercepts: 2 2 3 10 5 2 10 ( 5) 2( 5) ( 5)(2 ) 5 2 5 2 x x x x x x x x x x x or x x or x-- + =-- + + =- + + + = +- = + =- = = - = The x-intercepts are (2, 0) and (-5, 0). Find few points: x-7-6-3 3 4 y-18-8 10-8-18 9. P(x) = x 2 – 6x (a) P(x) = x 2 – 6x = x 2 – 6x + 9 – 9 = (x – 3) 2 – 9 (b) The vertex is (3, –9) (c) P(0) = 0 2 – 6(0) = 0 The y-intercept is (0, 0). x 2 – 6x = 0 x(x – 6) = 0 x = 0 or x – 6 = 0 x = 0 or x = 6 The x-intercepts are (0, 0) and (6, 0). Find few points: x-2-1 1 5 7 8 y 16 7-5-5 7 16 11. P(x) = 2x 2 – 2x – 24 (a) P(x) = 2x 2 – 2x – 24 = 2(x 2 – x – 12) 2 2 2 2 2 1 1 1 1 2 12 2 12 4 4 2 4 1 1 48 1 49 2 2 2 4 4 2 4 1 49 2 2 2 x x x x x x =- +-- =--- =--- =...
View Full Document

{[ snackBarMessage ]}

### Page1 / 18

Section3.2MarcKrishke - Marc Krishke Section 3.2 pp 190-191...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online