The curve turns at a minimum: (2.5, -12)
y=4x-12-3 is the equation of a straight line. It does not have a vertex. Did you mean y=x squared - 12x - 3 ?
Y = X2 - 8X + 12set to 0X2- 8X + 12 = 0X2 - 8X = - 12halve the coefficient of the linear term, ( - 8 ), square it and add it to both sidesX2 - 8X + 16 = - 12 + 16factor on the left and gather term on the right(X - 4)2 = 4(X - 4)2 - 4 = 0================vertex form(4, - 4)=======vertex
Y=3x^2 and this is in standard form. The vertex form of a prabola is y= a(x-h)2+k The vertex is at (0,0) so we have y=a(x)^2 it goes throug (2,12) so 12=a(2^2)=4a and a=3. Now the parabola is y=3x^2. Check this: It has vertex at (0,0) and the point (2,12) is on the parabola since 12=3x2^2
25
In the form y = ax² + bx + c the axis of symmetry is given by the line x = -b/2a The axis of symmetry runs through the vertex, and the vertex is given by (-b/2a, -b²/4a + c). For y = 2x² + 4x - 10: → axis of symmetry is x = -4/(2×2) = -4/4 = -1 → vertex = (-1, -4²/(4×2) - 10) = (-1, -16/8 - 10) = (-1, -12)
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)
whats the slope of (-12 -11)
y=6x+12
The vertex form is a(x - h) ² + k ....where (h,k) is the vertex -3x2 - x - 30 = -3(x2 + 1/3x + 10) . . . .now complete the square . . . . . . . . . . = -3[(x + 1/6))2 + 935/36] . . . and rearrange . . . . . . . . . .= -3(x + 1/6)2 - 2911/12
A vertex is a quadralateral edge, with the hypotenuse of pi 8 squared. it has 12 dimensions.
Edges: 12 Faces: 6 Vertex: 8
y=3x+12