Question

Exercises 12.3 Complete the following: 1. Complete the squares for each quadratic, list the center and radius, then graph each labeling its translated center: ra) x² + 2x + y² - 4y=4 (b) x² + y2 - 4x = 0) (c) 2x2 + 2y2 + 3x - 5y = 2 (d) x² + y²– 2x-3y=8 (e) x2 + y2 + 3x = 4 - (1) 4x² + Any? - 16x + 2Any = -2 (g) x2 + y2 + 4x = 0 (h) x2 + y2 – 7y = 0 (i) x2 + y2 + 2mx - 2ny = 0 (j) x2 + y2 - 2ax + 2by =

Answer 1

1) Let's complete the square, and label the Center, and the radius

x² + 2x + y² - 4y=4 Dividing the coefficients of x and y by 2

x² +2x +1 +y²-4y+4=4+5 Adding on both sides the new addends

(x+1)²+(y-2)²=9