The path that Gloria follows when she jumped is a path of parabola.
The equation of the parabola that describes the path of her jump is 
The given parameters are:
<em>Assume she starts from the origin (0,0)</em>
The midpoint would be:
So, the vertex of the parabola is:
Express properly as:
A point on the graph would be:
The equation of a parabola is calculated using:
Substitute in
Substitute in
Collect like terms
Solve for a
Simplify
Substitute in
Hence, the equation of the parabola that describes the path of her jump is
See attachment for the graph
Read more about equations of parabola at:
brainly.com/question/4074088
Answer:
Step-by-step explanation:
This is an arith. sequence.
The first term is 3 and the common difference is 1
Thus, the general formula for the nth term of this sequence is:
a(n) = 3 + 1(n - 1) This matches Answer A
Answer:
A: 5
B: 32
C: 3
D; 14
C: 0.333
Step-by-step explanation:
Let's figure this out. Step by step:
P / 6 = 9
P = 6(9)
P = 54 is your answer.
I hope this helps :)
Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
- If a>0, then the graph shifts a units left.
- If a<0, then the graph shifts a units right.
- If b>0, then the graph shifts b units up.
- If b<0, then the graph shifts b units down.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).
