Sketch the graph of the equation below.

Question

Quizplus · Accepted Answer

The equation is a quadratic function in standard form with a positive leading coefficient, which means the graph is a parabola that opens upward. The vertex of the parabola is at (-3, -5), which can be determined by finding the axis of symmetry, x = -3, and plugging it into the equation to solve for y. The x-intercepts of the graph can be found by setting y = 0 and solving for x, which gives (0, 1) and (-6, 0). The y-intercept can be found by setting x = 0 and solving for y, which gives (0, -3). Plotting these points and sketching the parabola passing through them gives the graph that matches choice B.

Sketch the Graph of the Equation Below