Hi, any help with this question would be appreciated . The graph of y = −3x2 +6x + 9 is a parabola.
Is the parabola u-shaped or n-shaped? How can I tell this from the equation?
To determine whether the parabola is u-shaped or n-shaped, we need to consider the coefficient of the x^2 term in the quadratic equation.
The general form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.
In this specific equation, y = -3x^2 + 6x + 9, the coefficient of the x^2 term is -3. Since this coefficient is negative, the parabola will be n-shaped, or opens downwards.
To summarize: If the coefficient of the x^2 term is positive, the parabola will be u-shaped (opens upwards), and if it is negative, the parabola will be n-shaped (opens downwards).