which of the following statements best describes the effort of replacing the graph of f(x) with the graph of f(x)-3
1 answer:
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The circumcenter is found by finding the intersection of at least 2 perpendicular bisector segments.
Find the perpendicular bisector to segment AB. This is the line y = -3.5; the idea is that you find the equation of the horizontal line through the midpoint of AB. The midpoint has a y coordinate of -3.5. This line is shown in red horizontal line in the attached image below.
The midpoint of AC is 2.5, so the perpendicular bisector to AC is x = 2.5 which is shown as the vertical green line in the same diagram.
The red and green lines cross at the location (2.5, -3.5) which is the circumcenter's location. If you were to draw a circle through all three points A, B, & C, then this circle would be centered at (2.5, -3.5)
If point D is the circumcenter, then we know this
AD = BD = CD
basically the distance from the center to any point on the triangle is the same. This is due to the fact that all radii of the same circle are the same length.
<h3>Answer: (2.5, -3.5)</h3>note: 2.5 in fraction form is 5/2 while -3.5 in fraction form is -7/2
Answer:
The correct option is 3.
Step-by-step explanation:
The given equation is
It can be written as
Taking out the common factor form the parenthesis.
If an expression is defined as then we add
to make it perfect square.
In the above equation b=6.
Add and subtract 3^2 in the parenthesis.
.... (1)
Add 32 on both sides.
The vertex from of a parabola is
.... (2)
If a>0, then k is minimum value at x=h.
From (1) and (2) in is clear that a=2, h=-3 and k=-32. It means the minimum value is -32 at x=-3.
The equation reveals the minimum value for the given equation.
Therefore the correct option is 3.