Quiz

Question 1 · easy

Find center and radius: (x+1)^2 + (y-3)^2 = 64.

Question 2 · medium

Convert to standard form: x^2 + y^2 - 10x + 4y + 20 = 0.

Question 3 · medium

For x^2 = -4y, what is the focus and directrix?

Question 4 · medium

Write the equation of the parabola with vertex (0,0) and focus (0,-3).

Question 5 · medium

Find the vertex of f(x) = x^2 - 6x + 5.

Question 6 · easy

Does the graph of x^2 + y^2 = -4 exist? Explain.

Question 7 · easy

Write the equation of a circle with center (0,0) passing through (3,4).

Question 8 · medium

For f(x) = -3(x-4)^2 + 1, state: vertex, direction, and maximum/minimum value.

Question 9 · challenge

A parabola opens rightward with vertex (0,0) and passes through (3,6). Find its equation.

Question 10 · medium

What is the distance from the focus to the directrix for the parabola x^2 = 16y?