x^2-x-6=9

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

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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intercepts 4

Solution

Y Intercepts: (0, 4)

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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=6x² in the standard form: 4· 124 (y−0)=(x−0)²

(h, k)=(0, 0), p=124

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+124 )

Refine

(0, 124 )

Solve instead

domain 4

range 4

inverse 4

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