Sketch the graph of the following function.
A)
B)
C)
D)

Question

Sketch the graph of the following function. ​ 
A)​ 
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

The function is a quadratic function, meaning it will have a parabolic shape. The coefficient of the squared term is negative, indicating that the parabola will open downwards. The y-intercept is at (0,2). The x-intercepts can be found by setting y=0 and solving for x using the quadratic formula. The discriminant is negative, indicating that there are no real x-intercepts. The vertex can be found by completing the square or using the formula x=-b/2a. The vertex is at (-1,-1). The only graph that matches these characteristics is choice B.

Sketch the Graph of the Following Function