y = 4x2 + 6 or
y = 4x2 + 0x + 6, where a = 4, b = 0 and c = 6
x-coordinate of the vertex = -b/2a = -0/2(4) = 0
y-coordinate of the vertex = 4(02) + 6 = 6
vertex is (0, 6)
(Or you can say: Since the vertex of y = x is (0, 0), and this graph is shifted 6 units upward in the y-axis, then the vertex of y = x + 6 would be (0, 0 + 6) or (0, 6)
Substitute 0 for y in order to find the roots.
y = 4x2 + 6
0 = 4x2 + 6
0 - 6 = 4x2 + 6 - 6
-6 = 4x2
-6/4 = 4x2/4
- 6/4 = x2
± √(-6/4) = x
± [√(6/4)]i = x x = [(1/2)√6]i or x = - [(1/2)√6]i
find out what 6 squared equals. which is 6 x 6 and that equals 36
B squared equals c squared minus a squared then to find B take the square root of you answer for b squared
A squared plus B squared equals C squared. It is the Pythagorean theorem.To do this you would find the two short sides of a right triangle. Then for one short side find the length and multiply it by itself and for the other short side do the same thing. After that add those two up and and find the square root of it. That number you have there is C aka hypotenuse aka the long side. :)
y2 = 32x y = ±√32x the vertex is (0, 0) and the axis of symmetry is x-axis or y = 0
x = -½
a=b=3.60555
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.
find out what 6 squared equals. which is 6 x 6 and that equals 36
the answer is 1.02
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
B squared equals c squared minus a squared then to find B take the square root of you answer for b squared
-2-5
100+20+1
actually,10x squared minus 17 equals 63 would come out to x equals the square root of 8.to work this out, you would first at 17 to both sides to get 10x squared alone.63 plus 17 equals 80. you now have 10x squared equals 80. then divide each side by ten to get x squared alone. 80 divided by 10 equals 8. now you have x squared equals eight. finally, to find x, you find the square root of each side. x squared's square root is x, and 8's square root is 2.82842712 but I'm assuming you only have to write out x=√8.but the other answer was a good try:)Improved Answer:-10x2-17x = 6310x2-17x-63 = 0When factored: (5x+9)(2x-7) = 0Therefore the roots of the quadratic equation are: x = -9/5 and x = 7/2
A squared plus B squared equals C squared. It is the Pythagorean theorem.To do this you would find the two short sides of a right triangle. Then for one short side find the length and multiply it by itself and for the other short side do the same thing. After that add those two up and and find the square root of it. That number you have there is C aka hypotenuse aka the long side. :)
y2 = 32x y = ±√32x the vertex is (0, 0) and the axis of symmetry is x-axis or y = 0
It is the pythagorean theorem. Used in finding the lengths of sides of right angled triangles.