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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)).
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Where is the vertex coordinate of the parabola y equals 24 -6x -3x squared when plotted on the Cartesian plane?
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.
What is the vertex of the parabola y equals 2x squared plus 12x 13?
(-3, -5)
What is the Definition of vertex of a parabola?
the point in which the parabola cannot go any higher or lower in a coordinate plane
What are the coordinates of the minimum point of a porabola whose equation is y equals x squared plus three?
y = x2 + 3 Since the x term is missing, the x-coordinate of the vertex is 0. If x = 0, then y = 3. Thus, (0, 3) is the vertex, the minimum point of the parabola.
What is the y coordinate of the vertex of the parabola that is given y equals negative 2 point 5 parenthese x minus 4 parenthese end squared minus 5?
y = -5 By using calculus, the derivative of y = -2.5(x-4)2 - 5 is y' = -5(x-4). Solving the equation -5(x-4) = 0 gives x = 4 (since the slope of the parabola at the vertex is zero). Plug this back into the equation: y = -2.5(4 - 4) -5 = -5, so the y-coordinate is -5. The equation of the parabola is given in the vertex form y = a(x - h)2 + k, where (h, k) is the vertex. So the vertex is (4, -5).
Where is the vertex coordinate of the parabola y equals 24 -6x -3x squared when plotted on the Cartesian plane?
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.
What is the vertex of the parabola y equals 2x squared plus 12x 13?
(-3, -5)
Where is the vertex coordinate of the parabola y equals x square -3x -10 located on the Cartesian plane?
7
What is the vertex of the parabola when y equals 3x squared plus 2x minus 1?
The minimum value of the parabola is at the point (-1/3, -4/3)
When a parabola opens upward the y coordinate of the vertex is a what?
Opening up, the vertex is a minimum.
What is y equals x squared?
it will form a parabola on the graph with the vertex at point (0,0) and points at (1,1), (-1,1), (2,4), (-2,4)......
What is the Definition of vertex of a parabola?
the point in which the parabola cannot go any higher or lower in a coordinate plane
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 -2 -3 When the y-value is -2 the x-value is -5 What is the coefficient of the squared term in the parabola's equation?
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.
What is the parabola?
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.
What are the coordinates of the minimum point of a porabola whose equation is y equals x squared plus three?
y = x2 + 3 Since the x term is missing, the x-coordinate of the vertex is 0. If x = 0, then y = 3. Thus, (0, 3) is the vertex, the minimum point of the parabola.
The vertex of this parabola is at 5 5 When the x-value is 6 the y-value is -1 What is the coefficient of the squared expression in the parabola's equation?
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.
