Answer:
4x - 2
Step-by-step explanation:
3(2x - 2) - 2(x - 2) [Distributive Property]
6x - 6 - 2x + 4
4x - 2
Don’t take my word for it but if there’s no x then it might be undefined.
Sorry if I’m incorrect
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
4pm because it takes them 3 hours to get set and sunset is at 7pm so 7-3=4pm boom!
