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Conic sections: circles and parabolas — Homework
Complete the square on x-terms and y-terms as two separate steps, and recover 4p before dividing by 4.
- 1.Identify the center and radius of the circle x^2+y^2-8x+2y+13=0.
- 2.Identify the vertex, focus, and directrix of the parabola y^2 = -16x.
- 3.Identify the vertex, focus, and directrix of the parabola (y-3)^2 = 8(x+2).
- 4.Explain why the general equation of a circle must have the same coefficient on x^2 and y^2 before you can complete the square into circle form.
- 5.A circle has center (0,0) and passes through the point (6,8). Find its equation.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 34 homework