What is a - 2 +3 = -2
1 answer:
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Part A
We have
. To solve for the x-intercept, we set f(x) equal to 0. That is
Take the square root of both sides,
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).
Part B.
We have
.
Factor out -2
Complete the square
Simplify
Part C
We have
.
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.
We have
Take the square root of both sides,
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).
Part B.
We have
Factor out -2
Complete the square
Simplify
Part C
We have
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.
Answer:
and
Step-by-step explanation:
It was given that the points and
are on the graph of the function
.
If is the inverse function of
, then
will take the y-values as inputs and give the x-values as outputs.
Hence we will have the ordered pairs and
on g.
In other words, f and g are symmetric about the line . This implies that when we reflect the points
and
in the line
we will obtain
and
.
This point must lie on g.