0
The vertex of a parabola is the minimum or maximum value of the parabola.
To find the maximum/minimum of a parabola complete the square:
x² + 4x + 5 = x² + 4x + 4 - 4 + 5 = (x² + 4x + 4) + (-4 + 5) = (x + 2)² + 1
As (x + 2)² is greater than or equal to 0, the minimum value (vertex) occurs when this is zero, ie
(x + 2)² = 0
→ x + 2 = 0
→ x = -2
As (x + 2)² = 0, the minimum value is 0 + 1 = 1.
Thus the vertex of the parabola is at (-2, 1).
What else can I help you with?
What is x squared minus 8x plus 8y plus 32 equals 0 in standard parabola form?
7
How do you find the axis of symmetry and vertex of y equals x squared plus 6x plus 10?
By completing the square y = (x+3)2+1 Axis of symmetry and vertex: x = -3 and (-3, 1) Note that the parabola has no x intercepts because the discriminant is less than zero
What is the vertex of a parabola whose equation is y equals x 32?
The given equation is not that of a parabola since there are no powers of 2. Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals" etc. And using ^ to indicate powers (eg x-squared = x^2).
What are points of intersection of the line 3x -y equals 5 with the curve of 2x squared plus y squared equals 129?
Straight line: 3x-y = 5 Curved parabola: 2x^2 +y^2 = 129 Points of intersection works out as: (52/11, 101/11) and (-2, -11)
X plus one over x squared plus two?
it equals x1 it equals x1
What is the vertex of the parabola y equals 2x squared plus 12x 13?
(-3, -5)
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)
What is the vertex of the parabola y equals x2 plus 8x plus 5?
The vertex has a minimum value of (-4, -11)
What is Y equals x squared plus 1?
It is the equation of a parabola.
What is the vertex form of y equals x2 plus 4x - 7?
The vertex of the positive parabola turns at point (-2, -11)
What is the vertex of the function y equals x squared plus 4?
The vertex is at the point (0, 4).
What is the vertex of the parabola given by the equation x equals negative 4 times y minus 3 squared plus 2?
Question can be taken as multiple meanings. Please see discussion.
How does y equals 4x2 plus 21x look in a graph?
It is a parabola with its vertex at the origin and the arms going upwards.
What is x squared minus 8x plus 8y plus 32 equals 0 in standard parabola form?
7
What is the y value of the maximum y equals -x2 plus 6x-7?
20 and the vertex of the parabola is at (3, 20)
How do you find the axis of symmetry and vertex of y equals x squared plus 6x plus 10?
By completing the square y = (x+3)2+1 Axis of symmetry and vertex: x = -3 and (-3, 1) Note that the parabola has no x intercepts because the discriminant is less than zero
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.
