Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
92701	Find the Directrix	y^2-2y-x=0	$y^{2} - 2 y - x = 0$
92702	Find the Directrix	y^2-5x+12y=-16	$y^{2} - 5 x + 12 y = - 16$
92703	Graph	f(x)=(9x^2+9x-18)/(3x+6)	$f (x) = \frac{9 x^{2} + 9 x - 18}{3 x + 6}$
92704	Find the Directrix	y^2-6y+8x+9=0	$y^{2} - 6 y + 8 x + 9 = 0$
92705	Graph	f(x) = log base a of x	$f (x) = \log_{a} (x)$
92706	Find the Directrix	y=1/10x^2+1/2	$y = \frac{1}{10} x^{2} + \frac{1}{2}$
92707	Graph	f(x) = square root of 1	$f (x) = \sqrt{1}$
92708	Find the Directrix	y=1/12(x+2)^2+1	$y = \frac{1}{12} {(x + 2)}^{2} + 1$
92709	Graph	f(x) = square root of 0	$f (x) = \sqrt{0}$
92710	Graph	f(x) = log base 4 of x-1	$f (x) = \log_{4} (x - 1)$
92711	Graph	f(x)=20-x	$f (x) = 20 - x$
92712	Find the Directrix	y=-1/12(x-3)^2-2	$y = - \frac{1}{12} {(x - 3)}^{2} - 2$
92713	Graph	f(x) = log base 3 of x+4	$f (x) = \log_{3} (x + 4)$
92714	Graph	f(x)=(x-3)^4	$f (x) = {(x - 3)}^{4}$
92715	Find the Directrix	y=1/14x^2	$y = \frac{1}{14} x^{2}$
92716	Simplify	fifth root of x^14	$\sqrt[5]{x^{14}}$
92717	Find the Directrix	y=-1/28x^2	$y = - \frac{1}{28} x^{2}$
92718	Graph	f(x)=5x-5	$f (x) = 5 x - 5$
92719	Find the Directrix	y=1/4(x-2)^2	$y = \frac{1}{4} {(x - 2)}^{2}$
92720	Solve for x	4^(2x)=7	$4^{2 x} = 7$
92721	Find the Directrix	y=1/4x^2-2x+1	$y = \frac{1}{4} x^{2} - 2 x + 1$
92722	Graph	f(x)=mx+b	$f (x) = m x + b$
92723	Find the Directrix	y=-1/40x^2	$y = - \frac{1}{40} x^{2}$
92724	Graph	f(x) = natural log of x-5	$f (x) = \ln (x - 5)$
92725	Find the Directrix	y=-1/8x^2+1/4x+15/8	$y = - \frac{1}{8} x^{2} + \frac{1}{4} x + \frac{15}{8}$
92726	Find the Directrix	y=1/8x^2-4x+41	$y = \frac{1}{8} x^{2} - 4 x + 41$
92727	Find the Directrix	y=2/3x^2-4/3x+7/6	$y = \frac{2}{3} x^{2} - \frac{4}{3} x + \frac{7}{6}$
92728	Solve for x	x-10 = square root of 3x+24	$x - 10 = \sqrt{3 x + 24}$
92729	Find the Directrix	y=2/3x^2-4/5x+7/9	$y = \frac{2}{3} x^{2} - \frac{4}{5} x + \frac{7}{9}$
92730	Graph	f(x)=4x+4	$f (x) = 4 x + 4$
92731	Find the Directrix	y=-3/16x^2	$y = - \frac{3}{16} x^{2}$
92732	Graph	f(x)=4x-4	$f (x) = 4 x - 4$
92733	Find the Directrix	y=-5/8x^2-3x+4	$y = - \frac{5}{8} x^{2} - 3 x + 4$
92734	Graph	f(x)=4 log base 3 of x	$f (x) = 4 \log_{3} (x)$
92735	Graph	f(x)=-4(x+6)^2+2	$f (x) = - 4 {(x + 6)}^{2} + 2$
92736	Find the Directrix	y=3x^2-2x+11/12	$y = 3 x^{2} - 2 x + \frac{11}{12}$
92737	Graph	f(x)=1-e^x	$f (x) = 1 - e^{x}$
92738	Find the Directrix	y=-x^2+18x-72	$y = - x^{2} + 18 x - 72$
92739	Graph	f(x)=-1-1/5x	$f (x) = - 1 - \frac{1}{5} x$
92740	Find the Directrix	y=x^2-14x+5	$y = x^{2} - 14 x + 5$
92741	Graph	f(x)=1-x	$f (x) = 1 - x$
92742	Find the Directrix	y-7=1/20(x+3)^2	$y - 7 = \frac{1}{20} {(x + 3)}^{2}$
92743	Graph	f(x)=-2x^2+4x-3	$f (x) = - 2 x^{2} + 4 x - 3$
92744	Graph	f(x)=2x^2+4x-3	$f (x) = 2 x^{2} + 4 x - 3$
92745	Find the Points of Intersection	16x^2+4y^2=64 , y=x^2-4	$16 x^{2} + 4 y^{2} = 64$ , $y = x^{2} - 4$
92746	Graph	f(x)=2e^(x-1)+1	$f (x) = 2 e^{x - 1} + 1$
92747	Graph	f(x)=2(x-3)^2-1	$f (x) = 2 {(x - 3)}^{2} - 1$
92748	Graph	f(x)=-3(x-2)^2+1	$f (x) = - 3 {(x - 2)}^{2} + 1$
92749	Graph	1-x	$1 - x$
92750	Find the Points of Intersection	4x^2-9y^2=36 , 4y^2-25x^2=100	$4 x^{2} - 9 y^{2} = 36$ , $4 y^{2} - 25 x^{2} = 100$
92751	Solve for x	6e^(2x)-9=23	$6 e^{2 x} - 9 = 23$
92752	Graph	f(x)=2x-x^2	$f (x) = 2 x - x^{2}$
92753	Graph	y=-2(x-3)^2+1	$y = - 2 {(x - 3)}^{2} + 1$
92754	Graph	y=2(x-3)^2-2	$y = 2 {(x - 3)}^{2} - 2$
92755	Graph	y=2(4.5)^x	$y = 2 {(4.5)}^{x}$
92756	Graph	y=2(1/5)^x	$y = 2 {(\frac{1}{5})}^{x}$
92757	Graph	y=-2 square root of x+1	$y = - 2 \sqrt{x + 1}$
92758	Simplify	(2x-7)(5x+5)	$(2 x - 7) (5 x + 5)$
92759	Find the Points of Intersection	x^2+y^2=36 , x-y=6	$x^{2} + y^{2} = 36$ , $x - y = 6$
92760	Graph	y=2x^2+8x+9	$y = 2 x^{2} + 8 x + 9$
92761	Simplify	f^-1g^-1	$f^{- 1} g^{- 1}$
92762	Find the Points of Intersection	x^2+y^2=4 y=x	$x^{2} + y^{2} = 4$ $y = x$
92763	Graph	y=2 natural log of x	$y = 2 \ln (x)$
92764	Graph	y-4x=-8	$y - 4 x = - 8$
92765	Find the Roots (Zeros)	x^3-5x+5=2x^2-5	$x^{3} - 5 x + 5 = 2 x^{2} - 5$
92766	Graph	y=-2x^2-8x-5	$y = - 2 x^{2} - 8 x - 5$
92767	Graph	y=-2x^2+8x-6	$y = - 2 x^{2} + 8 x - 6$
92768	Graph	y=-3x^2+6x-1	$y = - 3 x^{2} + 6 x - 1$
92769	Graph	y=3x^2-6x+3	$y = 3 x^{2} - 6 x + 3$
92770	Graph	y=3x^2-6	$y = 3 x^{2} - 6$
92771	Graph	y=3 log base 2 of x	$y = 3 \log_{2} (x)$
92772	Graph	y=3(x+1)^2	$y = 3 {(x + 1)}^{2}$
92773	Graph	y=3(0.5)^x	$y = 3 {(0.5)}^{x}$
92774	Graph	y=-3(x+2)^2+5	$y = - 3 {(x + 2)}^{2} + 5$
92775	Find the Points of Intersection	y=1/(x+2) y=x^2+2	$y = \frac{1}{x + 2}$ $y = x^{2} + 2$
92776	Find the Points of Intersection	y = square root of 256-x^2 , y=20-x	$y = \sqrt{256 - x^{2}}$ , $y = 20 - x$
92777	Graph	y=4x^2-5	$y = 4 x^{2} - 5$
92778	Find the Roots (Zeros)	X^2-2X-2=0	$X^{2} - 2 X - 2 = 0$
92779	Divide	(3x^4-4x^2+8x-1)/(x-2)	$\frac{3 x^{4} - 4 x^{2} + 8 x - 1}{x - 2}$
92780	Graph	y=4x-x^2	$y = 4 x - x^{2}$
92781	Graph	y=-4-4x	$y = - 4 - 4 x$
92782	Factor	m^2-12m+20	$m^{2} - 12 m + 20$
92783	Graph	y=-5 square root of x	$y = - 5 \sqrt{x}$
92784	Find the Points of Intersection	y=x^2+5x+3 y = square root of 2x+5	$y = x^{2} + 5 x + 3$ $y = \sqrt{2 x + 5}$
92785	Graph	y=7(4)^x	$y = 7 {(4)}^{x}$
92786	Graph	f(x)>=0	$f (x) \geq 0$
92787	Graph	y = log base 6 of x	$y = \log_{6} (x)$
92788	Find the Points of Intersection	y=x^2-6x+8 2y+x=4	$y = x^{2} - 6 x + 8$ $2 y + x = 4$
92789	Graph	y=-6 square root of x	$y = - 6 \sqrt{x}$
92790	Graph	y=7x-1	$y = 7 x - 1$
92791	Find the Points of Intersection	y=x^3+5x+1 , y=x	$y = x^{3} + 5 x + 1$ , $y = x$
92792	Graph	y=8 square root of x	$y = 8 \sqrt{x}$
92793	Find the Points of Intersection	y=x^3-x , y=3x	$y = x^{3} - x$ , $y = 3 x$
92794	Graph	y=-2x^2+6x-1	$y = - 2 x^{2} + 6 x - 1$
92795	Graph	y=9\|x\|	$y = 9 \| x \|$
92796	Graph	y=8x-7	$y = 8 x - 7$
92797	Graph	y = log of x+1-7	$y = \log (x + 1) - 7$
92798	Graph	y=mx+b	$y = m x + b$
92799	Graph	y=sin(3x)	$y = \sin (3 x)$
92800	Graph	y = natural log of x-1	$y = \ln (x - 1)$