F(x) is a parabola opening upward, while g(x) is a parabola facing downward.
So there needs to be a negative out front of the f(x) term. The negative will flip the parabola. That means the answer is either A or B
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After we flip the parabola, we need to translate the vertex (0,0) to the point (2,1) so that it matches up with the vertex of g(x)
To move from (0,0) to (2,1) we shift 2 units to the right and 1 unit up.
To move 2 units to the right, replace 'x' with 'x-2'
To move 1 unit up, you tack on a "+1"
So f(x) turns into -f(x) and then we replace the x with x-2 to get -f(x-2). Finally we tack on a "+1" to get -f(x-2)+1
The g(x) function is g(x) = -f(x-2)+1
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Therefore the final answer is choice B
The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method
<h3>Trigonometry</h3>
Given Data
- Height of Building A (Opp) = 400 feet
- Angle of Elevation θ = 35°
- Distance between the buildings Adj = ??
Applying the SOH CAH TOA Approach we have
Tan θ = Opp/Adj
Substituting our given data we have
Tan 35 = 400/x
0.4738 = 400/x
make x subject of the formula we have
x = 400/0.4738
x = 844.23 feet
learn more about trigonometry here:
brainly.com/question/24349828
<h3>
Answer: D) 5/2</h3>
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Explanation:
The parabola is symmetric around its vertex. This means that the roots are the same horizontal distance away from the vertex. Furthermore, we can apply the midpoint formula on the given roots to find the x coordinate of the vertex.
Find the midpoint of 2 and 3 to get (2+3)/2 = 5/2
Note: 5/2 = 2.5
Answer:that would be x=8
Step-by-step explanation:
Answer:
The graph in the bottom right corner