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
How about y = (x - 2)2 = x2 - 4x + 4 ? That is the equation of a parabola whose axis of symmetry is the vertical line, x = 2. Its vertex is located at the point (2, 0).
y = (x-4)(x-4) * * * The factors above are shown correctly. The axis of symmetry is the vertical line passing through the vertex, which is the point located at (4, 0). The equation of that line is x = 4, which is the answer you requested.
y = 2x2 + 3x + 6 Since a > 0 (a = 2, b = 3, c = 6) the graph opens upward. The coordinates of the vertex are (-b/2a, f(-b/2a)) = (- 0.75, 4.875). The equation of the axis of symmetry is x = -0.75.
If you ignore the print, then it has a plane of symmetry (possibly) but not an axis of symmetry. If you ignore the print and the "pop-top" part, then it has both.
(3/4, 0) and (5/2, 0) Solved with the help of the quadratic equation formula.
axis of symmetry is x=0 Vertex is (0,0) So the answer is : YES
Vertex = (0,0) Line of symmetry = y axis You should of known that as this function is only X^2
y2 = 32x y = ±√32x the vertex is (0, 0) and the axis of symmetry is x-axis or y = 0
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)
The axis of symmetry is x = -2.
y=x2+2x+1 -b -2 2a= 2= -1 = axis of symmetry is negative one.
Take the derivative: y' = 2x + 4. Set equal to zero: 2x + 4 = 0 --> x = -2. Substitute into original and y = -3. Axis of symmetry is x = -2. Vertex is (-2,-3)
How about y = (x - 2)2 = x2 - 4x + 4 ? That is the equation of a parabola whose axis of symmetry is the vertical line, x = 2. Its vertex is located at the point (2, 0).
There is no equation (nor inequality) in the question so there can be no graph - with or without an axis of symmetry.
It is a turning point. It lies on the axis of symmetry.
K
It is (-1, 3).