Question

Given the quadratic equation y=ax2+bx+c, find the axis of symmetry when b=0.

Answer 1

The axis of symmetry is the line that divides the parabola into two congruent sides.

Given the quadratic equation: y=ax² + bx + c.

If b = 0, then the equation is: y=ax² + c.

The axis of symmetry can be found using the equation:

`x=-(b)/(2a)`

Since b = 0:

`x=-(0)/(2a)=0`

So, the axis of symmetry is x = 0.

Answer: x = 0.