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The equation below describes a parabola. If a is positive which way does the parabola open?
If the coefficient ( a ) in the equation of a parabola (typically given in the form ( y = ax^2 + bx + c )) 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 y-values increase.
What else can I help you with?
What happens if a parabola has no x intercepts?
If a parabola has no x-intercepts, it means that its graph does not intersect the x-axis. This occurs when the value of the quadratic's discriminant (b² - 4ac) is less than zero, indicating that the quadratic equation has no real solutions. Consequently, the parabola opens either entirely above or entirely below the x-axis, depending on the sign of the leading coefficient. If the leading coefficient is positive, the parabola opens upwards; if negative, it opens downwards.
In which direction does the parabola that is given by the equation below open..... x equals -2.5 parenthese y - 3 end parenthese squared plus 5?
Left
The vertex of the parabola below is at the point 1 3 and the point 4 4 is on the parabola What is the equation of the parabola?
(y - 3) = a(x - 1)2 y = a(x - 1)2 + 3 4 = a(4 - 1)2 + 3 1 = 9a a = 1/9 y = 1/9 (x - 1)2 + 3
Find the equation below?
No, I can't.
What is Focus (34) directrix y -2?
The focus of a parabola is a specific point that defines its shape, while the directrix is a line used in the definition of a parabola. If the directrix is given as ( y = -2 ), the parabola opens either upwards or downwards. The focus would be located at a point above or below this directrix, depending on the orientation of the parabola. Specifically, for a parabola that opens upwards, the focus would be positioned at ( (h, k + p) ), where ( p ) is the distance from the vertex to the focus, and the vertex would be located at ( (h, -2 + p) ).
The equation below describes a parabola. If a is negative which way does the parabola open y ax2?
Down
The equation below describes a parabola. If a is positive which way does the parabola open y ax2?
right apex. hope that helps
What direction does the parabola open?
If the equation of the parabola isy = ax^2 + bx + c, then it opens above when a>0 and opens below when a<0. [If a = 0 then the equation describes a straight line, and not a parabola!].
The vertex of the parabola below is at the point 4 -1 which equation be this parabola's equation?
5
The vertex of the parabola below is at the point -2 1 Which of the equations below could be this parabolas equation?
Go study
The vertex of the parabola below is at the point (5 -3). Which of the equations below could be the one for this parabolaus anything?
To determine the equation of a parabola with a vertex at the point (5, -3), we can use the vertex form of a parabola's equation: (y = a(x - h)^2 + k), where (h, k) is the vertex. Substituting in the vertex coordinates, we have (y = a(x - 5)^2 - 3). The value of "a" will determine the direction and width of the parabola, but any equation in this form with varying "a" values could represent the parabola.
What is the y-coordinate of the vertex of the parabola that is given by the equation below?
We will be able to identify the answer if we have the equation. We can only check on the coordinates from the given vertex.
The vertex of the parabola below is at the point -3 -5 Which of the equations below could be the equation of this parabola?
2
What are the coordinates of the vertex of the parabola described by the equation below?
The coordinates will be at the point of the turn the parabola which is its vertex.
What is the y-coordinate of the vertex of a parabola with the following equation?
The y coordinate is given below:
A parabola that opens upward?
A parabola that opens upward is a U-shaped curve where the vertex is the lowest point on the graph. It can be represented by the general equation y = ax^2 + bx + c, where a is a positive number. The axis of symmetry is a vertical line passing through the vertex, and the parabola is symmetric with respect to this line. The focus of the parabola lies on the axis of symmetry and is equidistant from the vertex and the directrix, which is a horizontal line parallel to the x-axis.
The vertex of the parabola below is at the point (-4-2) which equation below could be one for parabola?
-2
