axis (y-2)=3(x-5)^2

Topic

Full pad

`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

lhopital squeeze chain factoring sandwich

See All

area

asymptotes

critical points

derivative

domain

eigenvalues

eigenvectors

expand

extreme points

factor

implicit derivative

inflection points

intercepts

inverse

laplace

inverse laplace

partial fractions

range

slope

simplify

solve for

tangent

taylor

vertex

geometric test

alternating test

telescoping test

pseries test

root test

Steps Examples

Generated by AI

axis (y−2)=3(x−5)²

Solution

x=5

Show Steps

Hide Steps

Solution steps

One step at a time

(y−2)=3(x−5)²

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−2)=3(x−5)² in the standard form: 4· 112 (y−2)=(x−5)²

Therefore parabola properties are:

(h, k)=(5, 2), p=112

Parabola is of the form 4p(y−k)=(x−h)² and is symmetric around the y-axis
Axis of symmetry is a line parallel to the y-axis which intersects the vertex:

x=5

Description

The Limit Calculator is an essential online tool designed to compute limits of functions efficiently. Here's how to use it:

Begin by entering the mathematical function for which you want to compute the limit into the above input field, or scanning the problem with your camera.
Choose the approach to the limit (e.g., from the left, from the right, or two-sided).
Input the point at which you want to evaluate the limit.
Once you've entered the function, selected the approach, and specified the limit point, click the 'Go' button to generate the result.

Limit Examples