University:
Carleton College
Course:
MATH 111 | lntroduction to Calculus
Academic year:

2022
Views:

207

Pages:

5
Author:

Amel S.

Advanced Math Quiz 2.1 Review DISTANCE FORMULA: d = √((x₂ - x₁)² + (y₂ - y₁)²) MIDPOINT FORMULA: ((x₁ + x₂)/2, (y₁ + y₂)/2) Find the distance between the set of points: 1. (-3, 4) and (7, 2) √((7 - (-3))² + (2 - 4)²) = √104 = 2√26 2. (-2, -6) and (3, -4) √((3 - (-2))² + (-4 - (-6))²) = √29 Find the midpoint between the set of points: 3. (-3, 4) and (7, 2) ((-3 + 7)/2, (4 + 2)/2) = (2, 3) 4. (4, -2) and (7, 2) ((4 + 7)/2, (-2 + 2)/2) = (11/2, 0) 5. (x, -2x) and (5x, 4x) ((x + 5x)/2, (-2x + 4x)/2) = (3x, x) 6. (3x, 4x) and (-6x, 9x) ((3x + (-6x))/2, (4x + 9x)/2) = (-3x/2, 13x/2) Graph by making a table and plotting points. First, find the VERTEX and then build your table around it. X-COORDINATE OF VERTEX: x = -b/2a 7. y = x² - 4 x = -0/2(1) = 0 y = 0² - 4 = -4 | x | y | |---|---| |-2| 0 | |-1| -3 | | 0 |-4 | | 1 |-3 | | 2 | 0 | 8. y = -x² + 1 x = -0/2(-1) = 0 y = -0² + 1 = 1 | x | y | |-2| -3 | |-1| 0 | | 0 | 1 | | 1 | 0 | | 2 |-3 | Graph by making a table and plotting points. First, find the VERTEX and then build your table around it. X-COORDINATE OF VERTEX: x = -b/2a 9. y = x² - 4x - 1 x = -(-4)/2(1) = 2 y = (2)² - 4(2) - 1 = 4 - 8 - 1 = -5 | x | y | |---|---| | 0 | -1 | | 1 | -4 | | 2 | -5 | | 3 | -4 | | 4 | -1 | 10. y = x² - 2x - 3 x = -(-2)/2(1) = 1 y = (1)² - 2(1) - 3 = 1 - 2 - 3 = -4 | x | y | | -1 | 0 | | 0 | -3 | | 1 | -4 | | 2 | -3 | | 3 | 0 | The quadratic is given in vertex form. Use the vertex form to identify the VERTEX and then build your table around it to graph the entire function. VERTEX FORM: y = a(x - h)² + k VERTEX: (h, k) 11. y = 2(x - 1)² - 3 h = 1 k = -3 | x | y | | -1 | 5 | | 0 | -1 | | 1 | -3 | | 2 | -1 | | 3 | 5 | 12. y = -(x + 2)² + 1 h = -2 k = 1 | x | y | | -4 | -3 | | -3 | 0 | | -2 | 1 | | -1 | 0 | | 0 | -3 |

Math 2 1 Quiz Review Solution Key.pdf

Math 2 1 Quiz Review Solution Key.pdf - Page 3

Math 2 1 Quiz Review Solution Key.pdf - Page 4

Math 2 1 Quiz Review Solution Key.pdf - Page 5

of 5

Description

Free up your schedule!

Take 5 seconds to unlock