Q:

Select the conic section that represents the equation. y2 = 10x circle ellipse parabola hyperbola

Accepted Solution

A:
The conic that represents the equation y² = 10x is a parabolaStep-by-step explanation:The general equation for any conic section isAx² + Bxy + Cy² + Dx + Ey + F = 0, where A, B, C, D, E and F are constants1. If B² - 4AC < 0, if a conic exists, it will be either a circle or an ellipse,    if A and C are equal then it is a circle, if not then it is an ellipse2. If B² - 4AC = 0, if a conic exists, it will be a parabola3. If B² - 4AC > 0, if a conic exists, it will be a hyperbola∵ The equation is y² = 10x- Subtract 10x from both sides∴ y² - 10x = 0∴ A = 0 , B = 0 , C = 1 , D = -10 , E = 0 and F = 0∵ B² - 4AC = (0)² - 4(0)(1) = 0∴ B² - 4AC = 0∴ The conic is parabolaThe conic that represents the equation y² = 10x is a parabolaLearn more:You can learn more about discriminant in brainly.com/question/8196933#LearnwithBrainly