What was the turning point in the american revolution?
1 answer:
The Battle of Saratoga, comprising two significant battles during September and October of 1777, was a crucial victory for the Patriots during the American Revolution and is considered the turning point of the Revolutionary War.
The Battle was the impetus for France to enter the war against Britain,
re-invigorating Washington’s Continental Army and providing much needed
supplies and support.
Burgoyne again began his advance south, but was stopped about 10 miles below Saratoga. The first battle of Saratoga, the Battle of Freeman's Farm, took place on September 19, 1777. A militia of sharpshooters from Virginia harassed the British, while other colonist forces aggressively charged into battle with them. Burgoyne lost two men for every one on the American side.
Burgoyne again began his advance south, but was stopped about 10 miles below Saratoga. The first battle of Saratoga, the Battle of Freeman's Farm, took place on September 19, 1777. A militia of sharpshooters from Virginia harassed the British, while other colonist forces aggressively charged into battle with them. Burgoyne lost two men for every one on the American side.
This defeat at Bemis Heights forced Burgoyne to withdraw north to camps in and around the present Village of Schuylerville. Burgoyne surrendered on October 17, 1777, in what would later be named Victory NY, where the Saratoga Monument memorializes that important day.
Disgraced, Burgoyne returned to England, and was never given another command. These crucial colonist victories at the Battle of Saratoga persuaded the French to support the Americans with military aid, and is considered the major turning point in the American Revolution.
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Answer:
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- <u>Number line with marks on y = 2 and y = -2. See the first graph attached.</u>
Explanation:
- 4 = y² is an equation that yields two values of y.
Then, its graph consists of two points on the number line;
That is, the graph istwo points that show the solutions, one point on the mark y = 2 and the other on the mark y = -2.
This is a one dimensional graph: just two points on the number line.
See the first graph attahed.
I will also talk you about the function 4x = y², just in case the question is mssing the variable x.
The graph of 4x = y² is a horizontal parabola, i.e. it symmetry axis is parallel to the x-axis.
The standard form of the equation of a horizontal parabola is:
With p ≠ 0.
The point with coordinates (h,k) is the vertex.
The point with coordinates (h + p, k) is the focus.
The line x = h - p is the directrix.
The axis of symmetry is the line y = k.
Positive values of p (p > 0) means the parabola opens to the right, and negative values of p (p < 0), means the parabola opens to the left.
4x = y² means:
- h = 0, k = 0, 4p = 4 ⇒ p = 1.
Then:
- vertex (0,0)
- focus (0,0)
- directrix: line x = 0 - 1 = - 1
- axis of symmetry: line y = 0
- it opens to the right.
With that, you can understand the second graph attached.
