[Answer] A parabola is represented by the equation x^2 = 4y. What are the coordinates of the focus of the parabola? Physics 1 Final Exam

Answer: b. (0 1) Quadratic Equations in Vertex Form
A parabola is represented by the equation x^2 = 4y. What are the coordinates of the focus of the parabola? Physics 1 Final Exam

Mon Oct 22 2001 14:30:00 GMT-0400 (Eastern Daylight Time) · These expressions can be derived from the canonical equation + = by an affine transformation of the coordinates ( ): x = ( X − x ∘ ) cos ⁡ θ + ( Y − y ∘ ) sin ⁡ θ y = − ( X − x ∘ ) sin ⁡ θ + ( Y − y ∘ ) cos ⁡ θ . {\displaystyle {\begin{aligned}x&=\left(X-x_{\circ }\right)\cos \theta +\left(Y-y_{\circ }\right)\sin \theta \\y&=-\left(X-x_{\circ }\right)\sin \theta +\left(Y-y_{\circ }\right)\cos \theta .\end{aligned}}}

Etymology. The word polynomial joins two diverse roots: the Greek poly meaning “many” and the Latin nomen or name.It was derived from the term binomial by replacing the Latin root bi-with the Greek poly-.The word polynomial was first used in the 17th century.. Notation and terminology. The x occurring in a polynomial is commonly called a variable or an indeterminate.

The following implicit equation on the polar coordinates (r θ) describes an ellipse centered at a point with polar coordinates (r 0 0) with its major axis rotated by φ relative to the θ=0 axis: ( r 0 − r cos ⁡ ( θ − φ ) ) 2 a 2 + ( r sin ⁡ ( θ − φ ) ) 2 b 2 = 1 {\displayst…

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