Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
21101	Find the Axis of Symmetry	f(x)=8x^2+16x-5	$f (x) = 8 x^{2} + 16 x - 5$
21102	Find the Axis of Symmetry	(x-4)^2=-4(y-3)	${(x - 4)}^{2} = - 4 (y - 3)$
21103	Find the Axis of Symmetry	g(x)=x^2-8x	$g (x) = x^{2} - 8 x$
21104	Find the Axis of Symmetry	y=-x^2+2x-8	$y = - x^{2} + 2 x - 8$
21105	Find the Axis of Symmetry	y=x^2-3x-3	$y = x^{2} - 3 x - 3$
21106	Find the Axis of Symmetry	y=3(x-4)^2-48	$y = 3 {(x - 4)}^{2} - 48$
21107	Find the Axis of Symmetry	y=-2(x-3)^2+4	$y = - 2 {(x - 3)}^{2} + 4$
21108	Find the Axis of Symmetry	y=2x^2-4x+7	$y = 2 x^{2} - 4 x + 7$
21109	Complete the Square	-x^2+2x+5	$- x^{2} + 2 x + 5$
21110	Find the Axis of Symmetry	y=x^2-x-72	$y = x^{2} - x - 72$
21111	Find the Axis of Symmetry	f(x)=(x-2)^2-9	$f (x) = {(x - 2)}^{2} - 9$
21112	Divide	( log of 7)/( log of 3)	$\frac{\log (7)}{\log (3)}$
21113	Divide	( log of 9)/( log of 5)	$\frac{\log (9)}{\log (5)}$
21114	Divide	( natural log of 7)/( natural log of 5)	$\frac{\ln (7)}{\ln (5)}$
21115	Divide	( natural log of 2)/26	$\frac{\ln (2)}{26}$
21116	Divide	( natural log of 2)/30	$\frac{\ln (2)}{30}$
21117	Divide	(cos(x)^2)/(1+sin(x))	$\frac{\cos^{2} (x)}{1 + \sin (x)}$
21118	Divide	( log of 4)/( log of 1/3)	$\frac{\log (4)}{\log (\frac{1}{3})}$
21119	Find the Axis of Symmetry	f(x)=2x^2-7x+5	$f (x) = 2 x^{2} - 7 x + 5$
21120	Find the Axis of Symmetry	f(x)=-3x^2-6x-2	$f (x) = - 3 x^{2} - 6 x - 2$
21121	Find the Axis of Symmetry	f(x)=3x^2-8x+2	$f (x) = 3 x^{2} - 8 x + 2$
21122	Find the Axis of Symmetry	f(x)=x^2-7	$f (x) = x^{2} - 7$
21123	Find the Axis of Symmetry	f(x)=16-(x-2)^2	$f (x) = 16 - {(x - 2)}^{2}$
21124	Find the Foci	(x^2)/25+(y^2)/9=1	$\frac{x^{2}}{25} + \frac{y^{2}}{9} = 1$
21125	Find the Axis of Symmetry	f(x)=2(x-8)^2+9	$f (x) = 2 {(x - 8)}^{2} + 9$
21126	Find the Axis of Symmetry	f(x)=x^2-8x+16	$f (x) = x^{2} - 8 x + 16$
21127	Find the Axis of Symmetry	f(x)=2x^2+8x+5	$f (x) = 2 x^{2} + 8 x + 5$
21128	Find the Axis of Symmetry	f(x)=2x^2-12x+19	$f (x) = 2 x^{2} - 12 x + 19$
21129	Find the Focus	y^2=-4x	$y^{2} = - 4 x$
21130	Find the Axis of Symmetry	f(x)=x^2+2x-15	$f (x) = x^{2} + 2 x - 15$
21131	Find the Axis of Symmetry	f(x)=-x^2+2x-3	$f (x) = - x^{2} + 2 x - 3$
21132	Find the Axis of Symmetry	f(x)=x^2+16x+8	$f (x) = x^{2} + 16 x + 8$
21133	Find the Axis of Symmetry	f(x)=(x-1)^2-2	$f (x) = {(x - 1)}^{2} - 2$
21134	Find the Axis of Symmetry	f(x)=(x-5)^2-1	$f (x) = {(x - 5)}^{2} - 1$
21135	Find the Axis of Symmetry	f(x)=x^2+4x-45	$f (x) = x^{2} + 4 x - 45$
21136	Find the Axis of Symmetry	f(x)=-x^2+6x-5	$f (x) = - x^{2} + 6 x - 5$
21137	Find the Axis of Symmetry	f(x)=x^2+x-6	$f (x) = x^{2} + x - 6$
21138	Find the Axis of Symmetry	f(x)=x^2-20x+109	$f (x) = x^{2} - 20 x + 109$
21139	Write in Standard Form	-5+6i	$- 5 + 6 i$
21140	Apply the Quadratic Formula	(2/3+24i)(1/6+12i)	$(\frac{2}{3} + 24 i) (\frac{1}{6} + 12 i)$
21141	Apply the Quadratic Formula	x^2+2x-18	$x^{2} + 2 x - 18$
21142	Apply the Quadratic Formula	x^2+8x-77	$x^{2} + 8 x - 77$
21143	Apply the Quadratic Formula	1.4t^2-8t+2.8	$1.4 t^{2} - 8 t + 2.8$
21144	Apply the Quadratic Formula	-2x^2+2x+1	$- 2 x^{2} + 2 x + 1$
21145	Apply the Quadratic Formula	3x^2+10x-2	$3 x^{2} + 10 x - 2$
21146	Apply the Quadratic Formula	3x^2-6x-6	$3 x^{2} - 6 x - 6$
21147	Divide	(-8+8sin(x))/(5cos(x))	$\frac{- 8 + 8 \sin (x)}{5 \cos (x)}$
21148	Find the Perfect Square Trinomial	2x^2+x	$2 x^{2} + x$
21149	Find the Perfect Square Trinomial	x^2-25x	$x^{2} - 25 x$
21150	Find the Perfect Square Trinomial	4f-6f^2	$4 f - 6 f^{2}$
21151	Find the Perfect Square Trinomial	(x+4)^3	${(x + 4)}^{3}$
21152	Find Where Undefined/Discontinuous	7x-x^3	$7 x - x^{3}$
21153	Find Where Undefined/Discontinuous	f(x)*(2cos(4x+12pi))+1	$f (x) \cdot (2 \cos (4 x + 12 π)) + 1$
21154	Find the Perfect Square Trinomial	2x^2-4x	$2 x^{2} - 4 x$
21155	Find Where Undefined/Discontinuous	(x^2-64)/(x^2)*(x^2-8x)/(x^2+x-72)	$\frac{x^{2} - 64}{x^{2}} \cdot \frac{x^{2} - 8 x}{x^{2} + x - 72}$
21156	Find Where Undefined/Discontinuous	y=3cot(2x-pi/4)+2	$y = 3 \cot (2 x - \frac{π}{4}) + 2$
21157	Find Where Undefined/Discontinuous	y=x/(x^2-1)	$y = \frac{x}{x^{2} - 1}$
21158	Find Where Undefined/Discontinuous	x^2-4x-21=0	$x^{2} - 4 x - 21 = 0$
21159	Complete the Square	3x^2+6x+1	$3 x^{2} + 6 x + 1$
21160	Complete the Square	5x^2-30x+49	$5 x^{2} - 30 x + 49$
21161	Complete the Square	2x^2-8x+14	$2 x^{2} - 8 x + 14$
21162	Complete the Square	3x^2-6x+1	$3 x^{2} - 6 x + 1$
21163	Complete the Square	3y^2+6y	$3 y^{2} + 6 y$
21164	Complete the Square	4x^2+16x	$4 x^{2} + 16 x$
21165	Complete the Square	4x^2-20x+9	$4 x^{2} - 20 x + 9$
21166	Complete the Square	4x^2-4x+21	$4 x^{2} - 4 x + 21$
21167	Complete the Square	7k^2+9k	$7 k^{2} + 9 k$
21168	Evaluate Using Summation Formulas	sum from n=1 to 42 of 2n-2	$\sum_{n = 1}^{42} 2 n - 2$
21169	Evaluate Using Summation Formulas	sum from n=1 to 5 of 2n-3	$\sum_{n = 1}^{5} 2 n - 3$
21170	Evaluate Using Summation Formulas	sum from n=1 to 100 of 5n	$\sum_{n = 1}^{100} 5 n$
21171	Evaluate Using Summation Formulas	sum from n=1 to 4 of (-2)(-3)^(n-1)	$\sum_{n = 1}^{4} (- 2) {(- 3)}^{n - 1}$
21172	Evaluate Using Summation Formulas	sum from n=1 to 20 of 2n+1	$\sum_{n = 1}^{20} 2 n + 1$
21173	Evaluate Using Summation Formulas	sum from k=3 to 7 of 3k^2-4	$\sum_{k = 3}^{7} 3 k^{2} - 4$
21174	Evaluate Using Summation Formulas	sum from n=1 to 120 of 3n-4	$\sum_{n = 1}^{120} 3 n - 4$
21175	Evaluate Using Summation Formulas	sum from n=1 to 50 of n	$\sum_{n = 1}^{50} n$
21176	Evaluate Using Summation Formulas	sum from n=1 to 36 of -5n-2	$\sum_{n = 1}^{36} - 5 n - 2$
21177	Evaluate Using Summation Formulas	sum from n=1 to 8 of 7-n	$\sum_{n = 1}^{8} 7 - n$
21178	Evaluate Using Summation Formulas	sum from n=1 to 90 of 3n-9	$\sum_{n = 1}^{90} 3 n - 9$
21179	Evaluate Using Summation Formulas	sum from k=1 to 4 of 6k	$\sum_{k = 1}^{4} 6 k$
21180	Evaluate Using Summation Formulas	sum from k=1 to 6 of 3k	$\sum_{k = 1}^{6} 3 k$
21181	Evaluate Using Summation Formulas	sum from k=1 to 6 of (k-2)(k+1)	$\sum_{k = 1}^{6} (k - 2) (k + 1)$
21182	Evaluate Using Summation Formulas	sum from k=1 to 6 of 9k^3	$\sum_{k = 1}^{6} 9 k^{3}$
21183	Determine the Type of Number	0.2	$0.2$
21184	Determine the Type of Number	49	$49$
21185	Determine the Type of Number	cos(pi/7)	$\cos (\frac{π}{7})$
21186	Determine the Type of Number	sec(arccot(5/12))	$\sec (arccot (\frac{5}{12}))$
21187	Determine the Type of Number	(tan(20)+tan(32))/(1-tan(20)tan(32))	$\frac{\tan (20) + \tan (32)}{1 - \tan (20) \tan (32)}$
21188	Determine the Type of Number	-(3pi)/4	$- \frac{3 π}{4}$
21189	Determine the Type of Number	arccot(3/4)	$arccot (\frac{3}{4})$
21190	Evaluate Using Summation Formulas	sum from t=1 to 18 of 5t-4	$\sum_{t = 1}^{18} 5 t - 4$
21191	Evaluate Using Summation Formulas	sum from x=1 to 80 of 2x-5	$\sum_{x = 1}^{80} 2 x - 5$
21192	Find the Directrix	y^2=-16x	$y^{2} = - 16 x$
21193	Find the Inverse	f(x) = log base 3 of x-2	$f (x) = \log_{3} (x - 2)$
21194	Find the Inverse	f(x)=4/( square root of x)	$f (x) = \frac{4}{\sqrt{x}}$
21195	Evaluate Using Summation Formulas	sum from k=5 to 20 of 11n+19	$\sum_{k = 5}^{20} 11 n + 19$
21196	Find the Inverse	f(x)=(2x-3)/4	$f (x) = \frac{2 x - 3}{4}$
21197	Find the Roots (Zeros)	3x^4-7x^3-31x^2+167x-52	$3 x^{4} - 7 x^{3} - 31 x^{2} + 167 x - 52$
21198	Find the Inverse	f(x)=x^3+2x+2	$f (x) = x^{3} + 2 x + 2$
21199	Find the Inverse	f(x)=(x-6)/2	$f (x) = \frac{x - 6}{2}$
21200	Find the Inverse	f(x)=x^2+2x	$f (x) = x^{2} + 2 x$