Using a directrix of y = 5 with focus at (4, 1), what quadratic function is created? f(x) = 1/4(x − 4)2 − 3 f(x) = 1/8(x + 4)2 − 3 f(x) = −1/8(x − 4)2 + 3 f(x) = -1/4(x + 4)2 − 3

C

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant.

Using the distance formula

= | y - 5 |

Squaring both sides

(x - 4)² + (y - 1)² = (y - 5)² ← distribute the factors in y

(x - 4)² + y² - 2y + 1 = y² - 10y + 25 ( subtract y² - 10y + 25 from both sides )

(x - 4)² + 8y - 24 = 0  ( subtract (x - 4)² from both sides )

8y - 24 = - (x - 4)² ← add 24 to both sides )

8y = - (x - 4)² + 24 ( divide both sides by 8 )

y = - (x - 4)² + 3

Hence

f(x) = - (x - 4)² + 3 → C

i'm sure goog can you get that answer

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.