The vertex coordinate point of the vertex of the parabola y = 24-6x-3x^2 when plotted on the Cartesian plane is at (-1, 27) which can also be found by completing the square.
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
Yes.
Y = X2 forms a parabola
(-3, -5)
To find the vertex of the parabola given by the equation (y = 24 - 6x - 3x^2), we can rewrite it in standard form (y = ax^2 + bx + c). Here, (a = -3), (b = -6), and (c = 24). The x-coordinate of the vertex can be found using the formula (x = -\frac{b}{2a}), which gives (x = -\frac{-6}{2 \cdot -3} = 1). Substituting (x = 1) back into the equation, we find the y-coordinate: (y = 24 - 6(1) - 3(1^2) = 15). Therefore, the vertex coordinate is ((1, 15)).
It is x^2 - 5 which, if plotted on the x-y plane will be a parabola which is symmetric about the y axis and has its apex at (0, -5) .
A parabola is a type of graph that is not linear, and mostly curved. A parabola has the "x squared" sign in it's equation. A parabola is not only curved, but all the symmetrical. The symmetrical point, the middle of the parabola is called the vertex. You can graph this graph with the vertex, x-intercepts and a y-intercept. A parabola that has a positive x squared would be a smile parabola, and the one with the negative x squared would be a frown parabola. Also, there are the parabolas that are not up or down, but sideways Those parabolas have x=y squared, instead of y = x squared.
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.
The vertex of this parabola is at 5 5 When the x-value is 6 the y-value is -1. The coefficient of the squared expression in the parabola's equation is -6.
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
It is the Cartesian equation of an ellipse.
It is the equation of a parabola.
Yes.
-3
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.
-5
-3