Instructions: Determine the shape and direction of the parabola formed by the given function.y=−3x2𝑦=−3𝑥2Solution

The given function is y = -3x^2.

Step 1: Identify the form of the equation The equation is in the form y = ax^2 + bx + c, where a, b, and c are constants. In this case, a = -3, b = 0, and c = 0.

Step 2: Determine the shape of the parabola The coefficient of x^2 (a) determines the shape of the parabola. If a > 0, the parabola opens upwards. If a < 0, the parabola opens downwards. In this case, a = -3, so the parabola opens downwards.

Step 3: Determine the direction of the parabola The direction of the parabola is determined by the sign of a. If a > 0, the parabola opens upwards. If a < 0, the parabola opens downwards. In this case, a = -3, so the parabola opens downwards.

So, the shape of the parabola formed by the given function y = -3x^2 is a downward-opening parabola.