Find the focus and directrix of the parabola y = 1/2(x+1)2 + 4.
C A) Focus: (1,41/2); Directrix: y = 31/2
C B) Focus: (-1,41/2); Directrix: y= 31/2
C C) Focus: (1,31/2); Directrix: y = 41/2
CD) Focus: (-1,31/2); Directrix: y = 41/2

Answer is B! Correct on exam!

Step-by-step explanation:

1. Identify the values for a, h, and k: a= 1/2 h= -1 k= 4. (Remember that the sign of h changes!)

2. Determine vertex: (-1,4)

3. Determine x and y for focus: X= -1 (same as vertex) y= K + 1/4(a)

Substitute what we know into that formula: y= 4 + 1/4(1/2)

y= 4 + 1/2 so y= 4 1/2.

4. Determine directrix: y= k - 1/4(a) ]

Substitute in what we know: y= 4 - 1/4(1/2)

y= 4-1/2 so y= 3 1/2

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

yo answer should be 6 if im not mistaken

step-by-step explanation: