transform x^2, 2(-3x+1)^2+5

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

simplify solve for inverse tangent line

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

transform x², 2(−3x+1)²+5

Solution

Move 1 unit to the left, Compress 3 times in x−direction, Reflect about y−axis, Stretch 2 times in y−direction, Move 5 units up

Show Steps

Hide Steps

Solution steps

One step at a time

transform x² to 2(−3x+1)²+5

Move: Move 1 \mathrm{unit} \mathrm{to the left}

Compress: Compress 3 times in x-direction

Reflect: Reflect about y-axis

Stretch: Stretch 2 times in y-direction

Move: Move 5 \mathrm{units} \mathrm{up}

Move 1 unit to the left, Compress 3 times in x−direction, Reflect about y−axis, Stretch 2 times in y−direction, Move 5 units up