It is known that the parabola y = x & # 178; - 6x + 5 (1) is the analytic expression of the parabola with respect to the y-axis symmetric image (2) is the analytic expression of the parabola with respect to the x-axis symmetric image

It is known that the parabola y = x & # 178; - 6x + 5 (1) is the analytic expression of the parabola with respect to the y-axis symmetric image (2) is the analytic expression of the parabola with respect to the x-axis symmetric image

The axis of symmetry of the parabola itself is x = B / (- 2A) = - 6 / (- 2) = 3. The whole parabola is symmetric about the Y axis, and its axis of symmetry becomes x = - 3. Other things such as opening direction and minimum value remain unchanged, so the expression becomes y = x2 + 6x + 5
For X-axis symmetry, the axis of symmetry remains unchanged, but the opening direction changes, so the expression becomes y = - x2-6x + 5

Symmetric axis equation of parabola y = 2x-3x + 1

Symmetric axis equation of parabola y = 2x-3x + 1
x=-b/2a=-（-3）/2*2=3/4