Question

What is the shape of the graph y = x^2 - 12
U shape
V shape A straight line

Answer 1

The graph of the equation \( y = x^2 - 12 \) is a **U-shaped** parabola. This is because it is a quadratic function in the form of \( y = ax^2 + bx + c \), where \( a = 1 \), \( b = 0 \), and \( c = -12 \). Since the coefficient of \( x^2 \) (which is 1) is positive, the parabola opens upwards, resulting in a U shape.