The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
<h3>What is a Parabola ?</h3>
A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.
(x-h)² = 4a(y-k)
It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).
Therefore
(x -2)² = 4a(y +2)
The parabola passes through the point (3,-1)
(3-2)² = 4*a(-1+2)
1 = 4 a
a = 1/4
The equation of the parabola is
(x-2)² = (y+2)
Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)
To know more about Parabola
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Answer:
15
Step-by-step explanation:
(g o h)(0) = g of h of 0 = g (h(0))
1. Find h(0)
h(0) = 0^2 - 5 which equals -5
2. Find g(-5)
g(-5) = -3 • -5 which equals 15
Answer: 15
The graph of a proportional relationship passes through the origin, and as a constant slope
The given parameter is:
- Proportionality constant (k) = 10/7
<h3>Condition for a proportional relationship</h3>
For a proportional relationship, the equation of the graph is represented as:
Substitute 10/7 for k
See attachment for the graph of the proportional relationship
Read more about proportional relationships at:
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Answer:
95 m
Step-by-step explanation:
If the graph shows the height of the balloon after t minutes from beginning of descent, look to when t = 0. At t=0 it has not yet begun it's descent because no minutes have passed. At that point on the graph the height is 95 m (the point is (0,95))
