Downwards
Down
If the number in front of the x squared is negative, then the parabola will open upwards. The opposite occurs when the number is positive.
open upward
right
To have a parabola with only one x-intercept, the vertex of the parabola must lie on the x-axis. This means the parabola opens either upwards or downwards, depending on the coefficient of the squared term in the equation. If the coefficient is positive, the parabola opens upwards, and if it is negative, the parabola opens downwards. By adjusting the coefficients in the equation of the parabola, you can position the vertex such that there is only one x-intercept.
Down
DOWN!
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.
LEFT
Opens downward.
A parabola opens downward when the coefficient of its (x^2) term is negative. This means that the vertex of the parabola represents a maximum point. In contrast, if the coefficient were positive, the parabola would open upward, indicating a minimum point at the vertex.
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.
down
Nose points right, opens to the left.
The given terms can't be an equation without an equality sign but a negative parabola opens down wards whereas a positive parabola opens up wards.
When a parabola opens downward, it indicates that the leading coefficient of the quadratic function is negative. In this case, the vertex of the parabola represents the maximum point, and the arms of the parabola extend downward on either side. This configuration often occurs in functions of the form ( y = -ax^2 + bx + c ), where ( a > 0 ).
If the value of ( a ) in the equation ( y = ax^2 ) is positive, the parabola opens upwards. This means that the vertex of the parabola is the lowest point, and as you move away from the vertex in either direction along the x-axis, the value of ( y ) increases. Conversely, if ( a ) were negative, the parabola would open downwards.