Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
17701	Find the Standard Form of the Parabola	g(x)=x^2-8x	$g (x) = x^{2} - 8 x$
17702	Find the Standard Form of the Parabola	f(x)=4x^2-40x+107	$f (x) = 4 x^{2} - 40 x + 107$
17703	Find the Standard Form of the Parabola	f(x)=5x^2-30x+49	$f (x) = 5 x^{2} - 30 x + 49$
17704	Find the Standard Form of the Parabola	f(x)=3x^2-12x+13	$f (x) = 3 x^{2} - 12 x + 13$
17705	Find the Vertex Form	x^2+4y^2+2x+24y+1=0	$x^{2} + 4 y^{2} + 2 x + 24 y + 1 = 0$
17706	Find the Vertex Form	x^2=4-2y^2	$x^{2} = 4 - 2 y^{2}$
17707	Find the Remainder	(6rt+4r^2t^2-9r^2t)/(3rt)	$\frac{6 r t + 4 r^{2} t^{2} - 9 r^{2} t}{3 r t}$
17708	Find the Remainder	(4x^3-6x^2+3x+1)/(x+2)	$\frac{4 x^{3} - 6 x^{2} + 3 x + 1}{x + 2}$
17709	Find the Remainder	(3x^4-2x^3+7x-4)/(x-3)	$\frac{3 x^{4} - 2 x^{3} + 7 x - 4}{x - 3}$
17710	Find the Remainder	(3x^3-2x^2-5x+4)/-4	$\frac{3 x^{3} - 2 x^{2} - 5 x + 4}{- 4}$
17711	Find the Remainder	(3x^4-3x^3-11x^2+6x-1)/(x^3+x^2-2)	$\frac{3 x^{4} - 3 x^{3} - 11 x^{2} + 6 x - 1}{x^{3} + x^{2} - 2}$
17712	Find the Remainder	(5x-4)/(5x^3-4x^2-5x)	$\frac{5 x - 4}{5 x^{3} - 4 x^{2} - 5 x}$
17713	Find the Remainder	(x^2+15)/(x^9)	$\frac{x^{2} + 15}{x^{9}}$
17714	Find the Remainder	(6x^2+25x+19)/(x+3)	$\frac{6 x^{2} + 25 x + 19}{x + 3}$
17715	Find the Remainder	(x^3-4x^2+x-2)/(x-5)	$\frac{x^{3} - 4 x^{2} + x - 2}{x - 5}$
17716	Find the Remainder	(x^4-3x^3+6x^2-3x+5)/(x^2+1)	$\frac{x^{4} - 3 x^{3} + 6 x^{2} - 3 x + 5}{x^{2} + 1}$
17717	Find the Vertex Form	9x^2+4y^2-54x+40y+37=0	$9 x^{2} + 4 y^{2} - 54 x + 40 y + 37 = 0$
17718	Find the Vertex Form	x^2+y^2+4x+10y+28=0	$x^{2} + y^{2} + 4 x + 10 y + 28 = 0$
17719	Find the Vertex Form	x^2+y^2+4x-6y-3=0	$x^{2} + y^{2} + 4 x - 6 y - 3 = 0$
17720	Find the Vertex Form	x^2+y^2-16x=0	$x^{2} + y^{2} - 16 x = 0$
17721	Find the Vertex Form	x^2+y^2-2x+16y+64=0	$x^{2} + y^{2} - 2 x + 16 y + 64 = 0$
17722	Solve for x	(x+11)^2=121	${(x + 11)}^{2} = 121$
17723	Find the Vertex Form	2x^2+3y^2-8x+6y+5=0	$2 x^{2} + 3 y^{2} - 8 x + 6 y + 5 = 0$
17724	Find the Vertex Form	4x^2+25y^2=100	$4 x^{2} + 25 y^{2} = 100$
17725	Find the Vertex Form	4x^2+25y^2-24x+100y+36=0	$4 x^{2} + 25 y^{2} - 24 x + 100 y + 36 = 0$
17726	Find the Vertex Form	4x^2+25y^2-8x-150y=-129	$4 x^{2} + 25 y^{2} - 8 x - 150 y = - 129$
17727	Find the Vertex Form	x^2+y^2+10x+4y+25=0	$x^{2} + y^{2} + 10 x + 4 y + 25 = 0$
17728	Find the Vertex Form	3x^2=15-5y^2	$3 x^{2} = 15 - 5 y^{2}$
17729	Find the Vertex Form	9x^2+y^2=81	$9 x^{2} + y^{2} = 81$
17730	Find the Vertex Form	(x^2)/81+(y^2)/49=1	$\frac{x^{2}}{81} + \frac{y^{2}}{49} = 1$
17731	Find the Vertex Form	16x^2+25y^2-128x+50y-119=0	$16 x^{2} + 25 y^{2} - 128 x + 50 y - 119 = 0$
17732	Find the Vertex Form	x^2+2y^2-2x-1=0	$x^{2} + 2 y^{2} - 2 x - 1 = 0$
17733	Find the Vertex Form	100x^2+9y^2-600x-180y+900=0	$100 x^{2} + 9 y^{2} - 600 x - 180 y + 900 = 0$
17734	Find the Vertex Form	18x^2-24x+9y^2-6y=153	$18 x^{2} - 24 x + 9 y^{2} - 6 y = 153$
17735	Find the Vertex Form	25x^2+16y^2-150x+32y-159=0	$25 x^{2} + 16 y^{2} - 150 x + 32 y - 159 = 0$
17736	Find the Vertex Form	176x^2+99y^2=1584	$176 x^{2} + 99 y^{2} = 1584$
17737	Find the Vertex Form	20x^2+4y^2=5	$20 x^{2} + 4 y^{2} = 5$
17738	Find the Vertex Form	36x^2+64y^2+216x-1980=0	$36 x^{2} + 64 y^{2} + 216 x - 1980 = 0$
17739	Find the Vertex Form	36x^2+81y^2-720x-486y+1413=0	$36 x^{2} + 81 y^{2} - 720 x - 486 y + 1413 = 0$
17740	Find the Vertex Form	4x^2+y^2+16x-6y-39=0	$4 x^{2} + y^{2} + 16 x - 6 y - 39 = 0$
17741	Find the Vertex Form	4x^2-32x+3y^2-18y=-55	$4 x^{2} - 32 x + 3 y^{2} - 18 y = - 55$
17742	Find the Vertex Form	4x^2+8y^2-8x+48y+44=0	$4 x^{2} + 8 y^{2} - 8 x + 48 y + 44 = 0$
17743	Find the Vertex Form	4x^2+8x+5y^2-30y-11=0	$4 x^{2} + 8 x + 5 y^{2} - 30 y - 11 = 0$
17744	Find the Vertex Form	4x^2+25y^2-64x+156=0	$4 x^{2} + 25 y^{2} - 64 x + 156 = 0$
17745	Find the Vertex Form	9x^2+4y^2-18x+16y-11=0	$9 x^{2} + 4 y^{2} - 18 x + 16 y - 11 = 0$
17746	Find the Vertex Form	9x^2+4y^2-18x+24y+9=0	$9 x^{2} + 4 y^{2} - 18 x + 24 y + 9 = 0$
17747	Find the Vertex Form	9x^2+y^2-18x=0	$9 x^{2} + y^{2} - 18 x = 0$
17748	Find the Vertex Form	5x^2+2y^2-27x+16y-19=0	$5 x^{2} + 2 y^{2} - 27 x + 16 y - 19 = 0$
17749	Find the Vertex Form	7x^2+3y^2=21	$7 x^{2} + 3 y^{2} = 21$
17750	Find the Vertex Form	5x^2+9y^2=45	$5 x^{2} + 9 y^{2} = 45$
17751	Find the Vertex Form	64x^2+100y^2-256x+400y-5744=0	$64 x^{2} + 100 y^{2} - 256 x + 400 y - 5744 = 0$
17752	Find the Vertex Form	(x^2)/36+(y^2)/11=1	$\frac{x^{2}}{36} + \frac{y^{2}}{11} = 1$
17753	Find the Vertex Form	9x^2+4y^2-18x+8y-23=0	$9 x^{2} + 4 y^{2} - 18 x + 8 y - 23 = 0$
17754	Find the Standard Form of the Parabola	y^2+16y+89+5x=0	$y^{2} + 16 y + 89 + 5 x = 0$
17755	Find the Standard Form of the Parabola	y^2=3x	$y^{2} = 3 x$
17756	Find the Standard Form of the Parabola	x^2+4x+12y-20=0	$x^{2} + 4 x + 12 y - 20 = 0$
17757	Find the Standard Form of the Parabola	x^2-8x-y+17=0	$x^{2} - 8 x - y + 17 = 0$
17758	Find the Standard Form of the Parabola	x^2-4x+8y+12=0	$x^{2} - 4 x + 8 y + 12 = 0$
17759	Find the Standard Form of the Parabola	(y-1)^2=-8x	${(y - 1)}^{2} = - 8 x$
17760	Find the Standard Form of the Parabola	x^2=8y	$x^{2} = 8 y$
17761	Find the Standard Form of the Parabola	x^2-17=8y+39	$x^{2} - 17 = 8 y + 39$
17762	Find the Standard Form of the Parabola	(x-4)^2=2(y+3)	${(x - 4)}^{2} = 2 (y + 3)$
17763	Find the Standard Form of the Parabola	(y-2)^2=4(x+3)	${(y - 2)}^{2} = 4 (x + 3)$
17764	Find the Standard Form of the Parabola	-1/40x^2=y	$- \frac{1}{40} x^{2} = y$
17765	Find the Standard Form of the Parabola	x^2+4x+6y-2=0	$x^{2} + 4 x + 6 y - 2 = 0$
17766	Find the Standard Form of the Parabola	3y^2+12y+5x=3	$3 y^{2} + 12 y + 5 x = 3$
17767	Find the Standard Form of the Parabola	f(x)=(3t^2-12)/2	$f (x) = \frac{3 t^{2} - 12}{2}$
17768	Find the Standard Form of the Parabola	f(x)=1/4x^2-2x-12	$f (x) = \frac{1}{4} x^{2} - 2 x - 12$
17769	Find the Standard Form of the Parabola	f(x)=x^2+10x+16	$f (x) = x^{2} + 10 x + 16$
17770	Find the Quadratic Constant of Variation	f(x)=x^2-4x	$f (x) = x^{2} - 4 x$
17771	Find the Quadratic Constant of Variation	(x^2)/4+(y^2)/25=1	$\frac{x^{2}}{4} + \frac{y^{2}}{25} = 1$
17772	Find the Quadratic Constant of Variation	h(x)=4x^4-5x^3+2x^2-x+5	$h (x) = 4 x^{4} - 5 x^{3} + 2 x^{2} - x + 5$
17773	Find the Vertex Form	y^2-25x^2+4y+50x-46=0	$y^{2} - 25 x^{2} + 4 y + 50 x - 46 = 0$
17774	Find the Vertex Form	y^2-4x^2-4y-8x-4=0	$y^{2} - 4 x^{2} - 4 y - 8 x - 4 = 0$
17775	Find the Vertex Form	x^2-4y^2-2x+16y=20	$x^{2} - 4 y^{2} - 2 x + 16 y = 20$
17776	Find the Vertex Form	9x^2-y^2+54x+10y+55=0	$9 x^{2} - y^{2} + 54 x + 10 y + 55 = 0$
17777	Find the Vertex Form	y^2-x^2-10y-8x-16=0	$y^{2} - x^{2} - 10 y - 8 x - 16 = 0$
17778	Find the Vertex Form	144x^2-25y^2+864x-100y-2404=0	$144 x^{2} - 25 y^{2} + 864 x - 100 y - 2404 = 0$
17779	Find the Vertex Form	4y^2-x^2=16	$4 y^{2} - x^{2} = 16$
17780	Find the Vertex Form	9y^2-90y-16x^2-128x=175	$9 y^{2} - 90 y - 16 x^{2} - 128 x = 175$
17781	Find the Vertex Form	25x^2-16y^2=400	$25 x^{2} - 16 y^{2} = 400$
17782	Find the Vertex Form	100x^2+200x-25y^2+50y-2425=0	$100 x^{2} + 200 x - 25 y^{2} + 50 y - 2425 = 0$
17783	Find the Vertex Form	x^2-4y^2-2x-24y-39=0	$x^{2} - 4 y^{2} - 2 x - 24 y - 39 = 0$
17784	Find the Vertex Form	9x^2-y^2-36x-6y+18=0	$9 x^{2} - y^{2} - 36 x - 6 y + 18 = 0$
17785	Find the Vertex Form	2x^2+12x+2y^2-16y-48=0	$2 x^{2} + 12 x + 2 y^{2} - 16 y - 48 = 0$
17786	Find the Vertex Form	2x^2+2y^2+12y=0	$2 x^{2} + 2 y^{2} + 12 y = 0$
17787	Find the Vertex Form	x^2-8x+y^2-9=0	$x^{2} - 8 x + y^{2} - 9 = 0$
17788	Find the Vertex Form	x^2-2x+y^2-3=0	$x^{2} - 2 x + y^{2} - 3 = 0$
17789	Find the Vertex Form	x^2+y^2+2x+6y+6=0	$x^{2} + y^{2} + 2 x + 6 y + 6 = 0$
17790	Find the Vertex Form	x^2+y^2-8x-6y-39=0	$x^{2} + y^{2} - 8 x - 6 y - 39 = 0$
17791	Find the Vertex Form	x^2+y^2-6x+2y+9=0	$x^{2} + y^{2} - 6 x + 2 y + 9 = 0$
17792	Find the Vertex Form	x^2+y^2-4x-12y-9=0	$x^{2} + y^{2} - 4 x - 12 y - 9 = 0$
17793	Find the Vertex Form	x^2+y^2-4x-2y-15=0	$x^{2} + y^{2} - 4 x - 2 y - 15 = 0$
17794	Find the Vertex Form	x^2+y^2-6x+4y-12=0	$x^{2} + y^{2} - 6 x + 4 y - 12 = 0$
17795	Find the Vertex Form	3x^2+3y^2-6x+12y=0	$3 x^{2} + 3 y^{2} - 6 x + 12 y = 0$
17796	Find the Vertex Form	4x^2+4y^2-16x-24y+51=0	$4 x^{2} + 4 y^{2} - 16 x - 24 y + 51 = 0$
17797	Find the Vertex Form	4x^2+4y^2-20x-32y+81=0	$4 x^{2} + 4 y^{2} - 20 x - 32 y + 81 = 0$
17798	Find the Vertex Form	x^2+y^2-2x-10y+17=0	$x^{2} + y^{2} - 2 x - 10 y + 17 = 0$
17799	Find the Vertex Form	3x^2+3y^2+6x=0	$3 x^{2} + 3 y^{2} + 6 x = 0$
17800	Find the Vertex Form	(x^2)/25-(y^2)/49=1	$\frac{x^{2}}{25} - \frac{y^{2}}{49} = 1$