# Finding the Axis of Symmetry - STANDARD form

- Author:
- Callum Marshall, lfletcher, Sophia Ramdass

- Topic:
- Symmetry

The diagram below shows a parabola and the equation of the parabola in both and
Follow the instructions given below to investigate the relationship between the parameters

**VERTEX FORM****STANDARD FORM***a*,*b*and*c*of the equation of the parabola in**STANDARD**form and the equation of the axis of symmetry.**Question 1:**

- Set
- Change the value of the parameter
*b*and observe how the equation of the axis of symmetry changes - If you change the value of the parameter
*c*, what is the impact on the equation of the axis of symmetry?

**Question 2:**

- Set
- Change the value of the parameter
*b*and observe how the equation of the axis of symmetry changes

**Question 3:**

- Set
- Change the value of the parameter
*b*and observe how the equation of the axis of symmetry changes

**Question 4:**By exploring further, what conclusions can you come to about the relationship between the parameters

*a*,

*b*and

*c*of the equation of a parabola in

**STANDARD**form and the equation of the axis of symmetry? Hence, write a rule for the equation of the axis of symmetry using one or more of the parameters

*a*,

*b*and

*c*in the form,