0
set to 0
X^2 + 4X = 0
you must complete the square. halve the coefficient of the linear term (4X) and square it and add it to the other side.
(X + 2)^2 = 4
now subtract the 4 from both sides
(X + 2)^2 - 4 = 0
The graph of y = x2 (vertex (0,0) is shifted 2 units to the left, and 4 units down.
the vertex is....
(-2,-4)
my TI-84 confirms this answer
or
Since x = -4/2 = -2 is the equation of the axis of symmetry, and the vertex lies on it, then the x-coordinate of the vertex is -2 and the y-coordinate is f(-2).
f(-2) = (-2)2 + 4(-2) = 4 - 8 = -4
thus, the vertex is (-2, -4)
What else can I help you with?
What is the vertex form of y equals 6x2?
By inspection you should be able to see that this is a parabola with a vertex of this. (0, 0) There is no form for this function as there is no linear term.
What is the vertex form of y equals x2 plus 4x - 7?
The vertex of the positive parabola turns at point (-2, -11)
How do you find the vertex of the parabola y equals -4x2 - 16x - 11?
You would convert it to vertex form by completing the square. You can also find the optimum value as optimum value and vertex are the same.
How do you write y equals x minus 4 x plus 2 in vertex form and find the vertex?
The given equation is y = x - 4x + 2 which can be written as y = -3x + 2 This is an equation of a straight line. Therefore it has no vertex and so cannot be written in vertex form.
How do you convert vertex form to quadratic form?
Do you have a specific vertex fraction? vertex = -b/2a wuadratic = ax^ + bx + c
What is the vertex form of y equals 6x2?
By inspection you should be able to see that this is a parabola with a vertex of this. (0, 0) There is no form for this function as there is no linear term.
What is the vertex form of y equals x2 plus 4x - 7?
The vertex of the positive parabola turns at point (-2, -11)
How do you find the vertex of the parabola y equals -4x2 - 16x - 11?
You would convert it to vertex form by completing the square. You can also find the optimum value as optimum value and vertex are the same.
Do all functions of the form y equals ax2 have the same vertex and axis of symmetry?
axis of symmetry is x=0 Vertex is (0,0) So the answer is : YES
How do you write y equals x minus 4 x plus 2 in vertex form and find the vertex?
The given equation is y = x - 4x + 2 which can be written as y = -3x + 2 This is an equation of a straight line. Therefore it has no vertex and so cannot be written in vertex form.
What is y equals 2xsquared-5x -12 in vertex form?
The curve turns at a minimum: (2.5, -12)
What is the plural form of vertex?
The plural form of vertex is vertices or vertexes.
What is the difference between standard form and vertex form?
The difference between standard form and vertex form is the standard form gives the coefficients(a,b,c) of the different powers of x. The vertex form gives the vertex 9hk) of the parabola as part of the equation.
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)......
How do you convert vertex form to quadratic form?
Do you have a specific vertex fraction? vertex = -b/2a wuadratic = ax^ + bx + c
What is the equivalent of the following equation y equals x2 - 8x plus 29?
The vertex form is y = (x - 4)2 + 13
What is the equation for vertex form?
The vertex form for a quadratic equation is y=a(x-h)^2+k.
