A parabola opens downward when the coefficient of its ( x^2 ) term (denoted as ( a )) is negative. This means that the vertex of the parabola is the highest point on the graph. Conversely, if ( a ) is positive, the parabola opens upward.
It is like the letter U.
right
In that case it opens upwards.
Opens downward.
LEFT
It is like the letter U.
right
left
In that case it opens upwards.
Opens downward.
No, a parabola is the whole curve, not just a part of it.
Open to the right. Like the sign for a subset, or a rounded version of the less than symbol, <.
The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5. The coefficient of the squared term in the parabola's equation is -3.
A parabola opens upward when its leading coefficient (the coefficient of the (x^2) term in the quadratic equation (y = ax^2 + bx + c)) is positive. This means that as you move away from the vertex of the parabola in both the left and right directions, the values of (y) increase. Consequently, the vertex serves as the minimum point of the parabola.
The graph of the equation ( y = -3x^2 ) opens downward. This is because the coefficient of the ( x^2 ) term is negative (-3), indicating that the parabola will have a maximum point and extend downwards from there.
Open to the right. Like the sign for a proper subset, or a rounded version of the less than symbol, <.