Determine the general form of the equation for the circle x2 + (y + 1)2 = 2. x2 + y2 + 2y = 3 x2 + y2 + 2y + 3 = 0 x2 + y2 + 2y – 1 = 0 x2 + y2 + y – 1 = 0

∆abc is reflected across the x-axis and translated 2 units up to give the image ∆a'b'c' with coordinates a'(1, 1), b'(2, -1), c'(2, 1). what are the coordinates of the preimage ∆abc? a. a(-1, 1), b(-2, 3), c(-2, 1) b. a(1, 1), b(2, 3), c(2, 1) c. a(1, -3), b(2, -1), c(2, -3) d. a(1, -3), b(2, -5), c(2, -3)

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 + 4x + 5 = 0