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Q: What is the vertex of the parabola when y equals 3x squared plus 2x minus 1?

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7

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).

2

(1/2, 71 and 3/4)or(0.5, 71.75)

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).

It is: 9-4 = 5

The vertex is (5, 11).

All the time

y = 3x2+2x-1 Line of symmetry: x = -1/3 Vertex coordinate: (-1/3, -4/3)

No. That function describes a parabola who's vertex is at the point (0, -4).

15.

y2-12=5x is an equation. When graphed, it is a parabola.

4 squared minus 2 squared equals 12

x = -2/3,7/6

B squared equals c squared minus a squared then to find B take the square root of you answer for b squared

its a simple parobola symmetric about y axis, having its vertex at (0,-4). we can make its graph by changing its equation in standard form so that we can get its different standard points like vertex, focus, etc.

square root of 8

x = plus or minus 6.

x=3

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).

(X-3)(X-3) Foil that and you will see tha X = 3. This is a parabola that touches the X axis at X = 3.

72 minus the root of squared minus equals 72 but you have to be smart to know that the minimum circumference s 56 there you go

You have to put your heart into it!

Solve this problem -x squared -40x- 80 =0