# x²-10x+8y+41=0 in parabola h and k?

Update:

Finding vertex, focus, directrix, axis of symmetry and endpoints

### 1 Answer

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- PopeLv 711 months ago
Complete the square and write the equation in standard form.

x² - 10x + 8y + 41 = 0

x² - 10x = -8y - 41

x² - 10x + 25 = -8y - 16

(x - 5)² = 4(-2)(y + 2)

vertex: (5, -2)

focus: (5, -4)

directrix: y = 0

axis: x = 5

A parabola has no endpoints.

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