The functions f(x) = (x + 1)^2 - 2 and g(x) = -(x-2)^2 + 1 have been rewritten using the completing-the-method. is the vertex for each function a minimum or a maximum? explain your reasoning for each function.

see explanation

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then the vertex is a minimum

• If a < 0 then the vertex is a maximum

f(x) = (x + 1)² - 2 → has a > 0

vertex = (- 1, - 2 ) and is a minimum

g(x) = - (x - 2)² + 1 → has a < 0

vertex = (2, 1 ) and is a maximum

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40