When the coefficient of the y term ( a ) in the equation of a parabola is negative, the parabola opens downward. This means that its vertex is the highest point on the graph. Conversely, if ( a ) were positive, the parabola would open upward.
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
The concavity of a parabola refers to the direction it opens: upwards or downwards. A parabola opens upwards if its leading coefficient (the coefficient of the quadratic term) is positive, resulting in a "U" shape. Conversely, it opens downwards if the leading coefficient is negative, forming an "n" shape. The vertex of the parabola represents the point of minimum or maximum value, depending on its concavity.
In that case it opens upwards.
LEFT
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
left
The concavity of a parabola refers to the direction it opens: upwards or downwards. A parabola opens upwards if its leading coefficient (the coefficient of the quadratic term) is positive, resulting in a "U" shape. Conversely, it opens downwards if the leading coefficient is negative, forming an "n" shape. The vertex of the parabola represents the point of minimum or maximum value, depending on its concavity.
In that case it opens upwards.
No, a parabola is the whole curve, not just a part of it.
Opens downward.
Open to the right. Like the sign for a subset, or a rounded version of the less than symbol, <.
The graph of a quadratic function is a parabola. It can open either upward or downward depending on the sign of the coefficient of the squared term; if it is positive, the parabola opens upward, and if negative, it opens downward. The vertex of the parabola is its highest or lowest point, and the axis of symmetry is a vertical line that runs through this vertex.
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.