Answer:
ray line line segment
Step-by-step explanation:
Answer:
Step-by-step explanation:
Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).
y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).
Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4
Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)
Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)
The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.
Answer:
10, 12, 13, 20
Step-by-step explanation:
It takes him 35 + 4 = 39 total minutes one way, so it would take him 39 x 2 = 78 minutes for 1 round trip.
convert 5 hours and 12 minutes into minutes: 1 hour = 60 minutes.
5 hours x 60 minutes = 300 minutes.
300 + 12 = 312 total minutes for the week.
Divide total minutes by minutes per round trip:
312 / 78 = 4 round trips total
