Y = -(1/2)(x-2)² +8
Re write it in standard form:
(y-8) = -1/2(x-2)² ↔ (y-k) = a(x-h)²
This parabola open downward (a = -1/2 <0), with a maximum shown in vertex
The vertex is (h , k) → Vertex(2 , 8)
focus(h, k +c )
a = 1/4c → -1/2 = 1/4c → c = -1/2, hence focus(2, 8-1/2) →focus(2,15/2)
Latus rectum: y-value = 15/2
Replace in the equation y with 15/2→→15/2 = -1/2(x-2)² + 8
Or -1/2(x-2)² +8 -15/2 = 0
Solving this quadratic equation gives x' = 3 and x" = 2, then
Latus rectum = 5
Answer:
8 becaus it dives. 2 meters second so if it dives to meters every second then all you have to do is add to to 4 seconds
A) The mean of set 1 is 53,800, while the mean of set 2 is 38,600. The median of set 1 is 42,000, while the median of set 2 is 28,000.
B) The median is a more accurate estimate, because each set has 1 particularly large outlier which heavily skews the mean. In each set, the mean is actually higher than 4 out of the 5 data points, which is not very accurate in describing how much the typical car costs.
