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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.


How do you convert standard form to vertex form?

y= -5/49(x-9)^2+5


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 of the parabola y equals -2x squared plus 12x -13?

There are two forms in which a quadratic equation can be written: general form, which is ax2 + bx + c, and standard form, which is a(x - q)2 + p. In standard form, the vertex is (q, p). So to find the vertex, simply convert general form into standard form.The formula often used to convert between these two forms is:ax2 + bx + c = a(x + b/2a)2 + c - b2/4aSubstitute the variables:-2x2 + 12x - 13 = -2(x + 12/-4)2 -13 + 122/-8-2x2 + 12x - 13 = -2(x - 3)2 + 5Since the co-ordinates of the vertex are equal to (q, p), the vertex of the parabola defined by the equation y = -2x2 + 12x - 13 is located at point (3, 5)


How do you convert 144785 into standard form?

That already is in standard form.


What different information do you get from vertex form and quadratic equation in standard form?

The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.


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.


What is the standard form of the equation of the parabola with vertex 00 and directrix y4?

Assuming the vertex is 0,0 and the directrix is y=4 x^2=0


How do you find the vertex of an equation in standard form?

To find the vertex of a quadratic equation in standard form, (y = ax^2 + bx + c), you can use the vertex formula. The x-coordinate of the vertex is given by (x = -\frac{b}{2a}). Once you have the x-coordinate, substitute it back into the equation to find the corresponding y-coordinate. The vertex is then the point ((-\frac{b}{2a}, f(-\frac{b}{2a}))).


How do you convert factored form to standard form?

You multiply the factors.


How do you convert numbers in scientific notation to standard form?

Do nothing! Standard form and scientific notation are the same.


How do you convert a parabolic equation from simplified form to standard form?

square