Answer:
Step-by-step explanation:
The parabola with vertex at point (h,k) is described by the following model:
The equation which satisfies the conditions described above:
The two points are evaluated herein:
x = -6
x = -2
The equation of the translated function is .
Answer:
x^4 - 81 = 0
(x² - 9)(x² + 9) = 0
Notice that the first of these is itself a difference of two squares:
(x - 3)(x + 3)(x² + 9) = 0
So the solutions are x = 3, x = -3, x = 3i, x = -3i
x² + y² – 10x + 6y + 18 = 0
x² – 10x + y² + 6y + 18 = 0
x² – 10x + 25 - 25 + y² + 6y + 9 - 9 + 18 = 0
(x-5)² + (y+3)² -16 = 0
(x-5)² + (y+3)² = 16
(x-5)² + (y+3)² = 4²
Center at (5,-3) radius = 4
Part 2
1. Complete the square for x and y
2. Put in the format for a circle. (x-h)² + (y-k)² = r², center at (h,k) with radius = r