MATH SOLVE

4 months ago

Q:
# BRAINLIEST!!!! writ the following equation in standard form.state wether the graph of the equation is a parabola,circle,ellipse or hyperbola.x^2+4y^2+2x-24y+33=0

Accepted Solution

A:

Answer:
x² + 4y²+ 2x - 24y + 33 = 0
= (x+1)² + 4(y-3)² - 1 - 36 + 33 = 0
= (x+1)² + 4(y-3)² = 4= (x + 1)²/2² + (y - 3)²/1² = 1This is an Ellipse: C(-1,3)The Standard Form of an Equation of an Ellipse is : (x - h)²/a²/ (y - k)²/b² = 1where Pt(h,k) is the center. (a variable positioned to correspond with major axis)a and b are the respective vertices distances from centerand√a² - b²are the foci distances from center: a > b