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diameter x^2+y^2=1

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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f(c)=c³2c⁸c⁻⁵

Solution

Domain: c<0 or c>0

Range: f(x)>0

Intercepts: None

Asymptotes: Horizontal y=2c⁶

Extreme Points: None

Interval Notation

Domain: (−∞ , 0)∪(0, ∞ )

Range: (0, ∞ )

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Solution steps

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Parabola Focus

A parabola is the locus of points such that the distance to a point (the focus) equals the distance to a line (the directrix)

Parabola standard equation

4p(y−k)=(x−h)² is the standard equation for an up-down facing parabola with vertex at (h, k),
and a focal length |p|

Rewrite y=4x² in the standard form: 4· 116 (y−0)=(x−0)²

(h, k)=(0, 0), p=116

Parabola is symmetric around the y-axis and so the focus lies a distance p from the center (0, 0) along the y-axis

(0, 0+p)

=(0, 0+116 )

بسّط

(0, 116 )

Solve instead

inverse c³2c⁸c⁻⁵

parity c³2c⁸c⁻⁵

symmetry c³2c⁸c⁻⁵

Functions Average Rate of Change Examples

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

diameter x^2+y^2=1

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