How would the graph of y = x2 + 6 be affected if the 6 in the function was changed to a 2?
a. the graph would shift 2 units up.
b. the graph would shift 4 units up.
c. the graph would shift 4 units down.
d. the graph would shift 4 units to the left.

Option C. The graph would shift 4 units down

Step-by-step explanation:

we know that

The function

----> is a vertical parabola with a vertex at (0,6)

----> is a vertical parabola with a vertex at (0,2)

so

The rule of the translation is

That means------> The translation is 4 units down      

answer: i don't understand it

step-by-step explanation: sorry

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: