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How do you find the axis of symmetry and vertex of y equals x squared plus 6x plus 10?
Wiki User
∙ 12y ago
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
Wiki User
∙ 12y ago
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An equation of a parabola that has x equals 2 as its axis of symmetry is?
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).
What is the equation of the axis of symmetry y equals x2 - 8x plus 16?
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.
Tell whether the graph opens up or down Find the coordinates of the vertex Write an equation of the axis of symmetry for the equation y equals 2x2 plus 3x plus 6?
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.
Does a can of soda have both axis of symmetry and plane symmetry?
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.
Where are the points of intersection on the x axis when y equals 8x squared -26x plus 15?
(3/4, 0) and (5/2, 0) Solved with the help of the quadratic equation formula.
Do all functions of the form y equals ax2 have the same vertex and axis of symmetry?
axis of symmetry is x=0 Vertex is (0,0) So the answer is : YES
What is the vertex and the line of symmetry for fx equals 5xsquared?
Vertex = (0,0) Line of symmetry = y axis You should of known that as this function is only X^2
Find the vertex and equation of the directri for y2 equals -32x?
y2 = 32x y = ±√32x the vertex is (0, 0) and the axis of symmetry is x-axis or y = 0
What are the vertex and the axis of symmetry of the equation y equals 2x² plus 4x - 10?
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)
What is the axis of symmetry for the parabola with vertex (-2 -4) and directrix y 1?
The axis of symmetry is x = -2.
What is the axis of symmetry for the function - y equals x squared plus 2x plus 1?
y=x2+2x+1 -b -2 2a= 2= -1 = axis of symmetry is negative one.
What is the vertex and the axis of symmetry for the function y equals x2 plus 4x plus 1?
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)
An equation of a parabola that has x equals 2 as its axis of symmetry is?
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).
What is the equation of the axis of symmetry and the vertex of the graph gx-2x-12x 6?
There is no equation (nor inequality) in the question so there can be no graph - with or without an axis of symmetry.
What things are significant about the vertex of a quadratic function?
It is a turning point. It lies on the axis of symmetry.
Why is the vertical line that passed through the vertex of a parabola called the axis of symmetry?
K
What are the coordinates of another vertex of the figure A figure has a vertex at (-1 -3). If the figure has line symmetry about the x-axis.?
It is (-1, 3).
