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We will be able to identify the answer if we have the equation. We can only check on the coordinates from the given vertex.

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The vertex of this parabola is at 5 -4 Which of the equations below could be its equation?

9


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 equation below describes a parabola. If a is negative which way does the parabola open y ax2?

Down


Which equation below represents a generic equation suggested by a graph showing a hyperbola?

A hyperbola is another form of a conical section graph like a parabola or ellipse. Its general form is x^2/a - y^2/b = 1.


How can a parabola have no x intercepts?

Suppose the equation of the parabola is y = ax2 + bx + c Now, where the parabola crosses the x-axis (the x intercepts), the value of y must be zero (that is what crossing the x-axis means). If the discriminant, b2 - 4ac is less than zero, y has no real roots. This means that there is no real value of x for which y equals zero and so the parabola has no x intercepts. If the discriminant is zero then the parabola only touches the x-axis - at (-b/2a,0). If the discriminant is greater than zero, there are two distinct intercepts. If a>0 then the parabola is shaped like a U and is wholly above the x-axis. If a<0 then the parabola is an upturned U, wholly below the x axis. If a = 0 the quadratic term disappears and the function is a straight line, not a parabola.

Related Questions

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 -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.


The vertex of the parabola below is at the point (-4-2) which equation below could be one for parabola?

-2


The vertex of the parabola below is at the point -2 1 Which of the equations below could be this parabolas equation?

Go study


What is the y-coordinate of the vertex of a parabola with the following equation?

The y coordinate is given below:


The vertex of this parabola is at 4 -3 Which of the equations below could be its equation?

7


The vertex of this parabola is at 5 -4 Which of the equations below could be its equation?

9


The vertex of this parabola is at 2 -4 Which of the equations below could be its equation?

6


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 1 Which of the equations below could be this parabolas equation?

you didn't put any equations, but the answer probably begins with y= (x-4)^2+1


The equation below describes a parabola. If a is negative which way does the parabola open y ax2?

Down