How would I change this into vertex form? Steps please
1 answer:
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Sally earns per hour = $12
Sally works for in a week = 16 hours.
So, Sally earns in a week =
Sally can save money each week= 20% of 192
A. How much does she earn each week ? Sally earns $192 in a week.
B. How much money will she save each week? Sally will save $38.40 each week.
C. How much money will she save each month (assume there are 4.3 weeks in a month)
Savings of 1 week = $ 38.40
Savings of 4.3 weeks =
Hence, she will save $165.12 in a month.
D. How many months will it take her to save the money?
Total money needed = $1800
Number of months needed to collect this amount =
Hence, it will take 11 months approx to save $1800.
Answer:
y = -1/10x^2 +2.5
Step-by-step explanation:
The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:
-1 -4 = -5
So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).
The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...
y = (1/(4p))(x -h) +k
y = -1/10x^2 +2.5
_____
You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.
