answersLogoWhite

0

To find the x-coordinate of the vertex in the quadratic equation ( y = x^2 + 6x - 2 ), you can use the formula ( x = -\frac{b}{2a} ), where ( a = 1 ) and ( b = 6 ). Plugging in the values, ( x = -\frac{6}{2 \times 1} = -3 ). Therefore, the x-coordinate of the vertex is ( -3 ).

User Avatar

AnswerBot

4d ago

What else can I help you with?

Continue Learning about Math & Arithmetic

Is x2 plus 8 a function?

x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.


How does an equation for a sideways parabola look like?

An equation for a sideways parabola can be expressed in the form ( y^2 = 4px ) for a parabola that opens to the right, or ( y^2 = -4px ) for one that opens to the left. Here, ( p ) represents the distance from the vertex to the focus. The vertex of the parabola is at the origin (0,0), and the axis of symmetry is horizontal. If the vertex is not at the origin, the equation can be adjusted to ( (y-k)^2 = 4p(x-h) ), where ((h, k)) is the vertex.


What is the vertex of y equals x-3 plus 2?

The equation is linear and so has no vertex.


What is the equation of a parabola with the vertex of 2 -1?

3


What is the vertex of a parabola that opens down called?

The vertex of a parabola that opens down is called the maximum point. This point represents the highest value of the function described by the parabola, as the graph decreases on either side of the vertex. In a quadratic equation of the form (y = ax^2 + bx + c) where (a < 0), the vertex can be found using the formula (x = -\frac{b}{2a}). The corresponding (y)-value can then be calculated to determine the vertex's coordinates.

Related Questions

Which equation represents a graph with a vertex at (1,-6?

7


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


Is x2 plus 8 a function?

x2+8= y This equation represents a function. It will be a parabola with the vertex at (0,8). You can easily graph this on a graphing calculator or from prior knowledge. You know the basic graph of y=x2 with vertex (0,0) and opens upwards on the y-axis. From the equation, you simply shift the vertex vertically up 8 so the new vertex is (0,8) This represents a function because for every x value there is one y value.


How does an equation for a sideways parabola look like?

An equation for a sideways parabola can be expressed in the form ( y^2 = 4px ) for a parabola that opens to the right, or ( y^2 = -4px ) for one that opens to the left. Here, ( p ) represents the distance from the vertex to the focus. The vertex of the parabola is at the origin (0,0), and the axis of symmetry is horizontal. If the vertex is not at the origin, the equation can be adjusted to ( (y-k)^2 = 4p(x-h) ), where ((h, k)) is the vertex.


What is the equation for vertex form?

The vertex form for a quadratic equation is y=a(x-h)^2+k.


What is the vertex of the equation y equals 2x-1?

3


What is the equation of vertex in parabola?

0,0


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.


What is the vertex of y equals x-3 plus 2?

The equation is linear and so has no vertex.


What is the maximum or minimum of a quadratic equation called?

The vertex.


What is the equation of a parabola with the vertex of 2 -1?

3


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

-2