Find the equation, in standard form, of the ellipse with $x$x-intercepts $\left(\pm5,0\right)$(±5,0) and $y$y-intercepts $\left(0,\pm2\right)$(0,±2).

Find the equation, in standard form, of the ellipse with $x$x-intercepts $\left(\pm3,0\right)$(±3,0) and $y$y-intercepts $\left(0,\pm7\right)$(0,±7).

Find the equation, in standard form, of the ellipse with $x$x-intercepts $\left(\pm3,0\right)$(±3,0) and foci $\left(\pm2,0\right)$(±2,0).

Find the equation, in standard form, of the ellipse with $y$y-intercepts $\left(0,\pm6\right)$(0,±6) and foci $\left(\pm5,0\right)$(±5,0).

Apply the geometry of conic sections

Apply the geometry of conic sections in solving problems