Which equation represents the axis of symmetry of the function y = x² − 4x − 6
as with any quadratic y = ax^2+bx+c
the vertex and axis of symmetry lie on the line x = -b/2a
In this case, x = 2
The equation for the axis of symmetry of a function in the form y = ax² + bx + c is given by x = -b/2a.
Given the quadratic function y = x² - 4x - 6, the coefficient of x² is a = 1 and the coefficient of x is b = -4.
Now we can substitute these values into the equation for the axis of symmetry:
x = -b/2a
x = -(-4)/(2*1)
x = 4/2
x = 2
Therefore, the equation representing the axis of symmetry of the function y = x² - 4x - 6 is x = 2.
To find the equation of the axis of symmetry for a quadratic function in the form y = ax² + bx + c, we can use the formula x = -b / (2a).
In the given function, y = x² - 4x - 6, we can identify that a = 1 and b = -4. Plugging these values into the formula, we will find the equation of the axis of symmetry.
x = -(-4) / (2*1)
x = 4 / 2
x = 2
Therefore, the equation of the axis of symmetry is x = 2.