A scientist began a study with a sample of 1,500 bacteria. He noticed that the number of bacteria in the sample after t days can
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Answer:
Step-by-step explanation:
Standard form of a parabola with a vertical axis of symmetry:
If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.
From inspection of the graph:
- Vertex = (3, -1)
- Directrix = y = -3
Therefore:
- h = 3
- k = -1
- k - p = -3
Use the Directrix equation to find p
⇒ y = (k - p)
⇒ -3 = -1 - p
⇒ p = 2
Therefore the equation of the conic section is:
Rearranging in standard form :
Here is the graphed version of equation
Where the slope is 0.5
and y-intercept is 0
Where the slope is 0.5
and y-intercept is 0