In the expression $(x-h{)}^2+(y-k{)}^2=R^2$, which symbol corresponds to the center coordinates and which to the radius of the circle?

Convert $x^2+y^2+6x-8y+9=0$ into standard form $(x-h{)}^2+(y-k{)}^2=R^2$.

A student solves the equation: $x^2+y^2-8x+6y+9=0$ by writing: ${(x-4)}^2+{(y+3)}^2=-4$, and concludes that: $r^2=-4$. Identify what the algebraic error is in the student's work.

Which statement best describes how a circle can be considered a special case of an ellipse?

An ellipse graphed at the origin has x-intercepts at ($\pm 6$, $0$) and y-intercepts at ($0$, $\pm 2$). Which equation matches the graph?

Which statement about the circumference (perimeter) of an ellipse is correct?

By the geometric definition of a parabola, which relationship is always true for any point P on the curve?

Convert the equation $y=-3x^2+12x-7$ into vertex form.

For the horizontal parabola $x=-\frac{1}{4}(y-2{)}^2+1$, determine the coordinates of the focus and the equation of the directrix.