The Axis of Symmetry lies halfway between the two roots for a quadratic graph.
The function `4x^2-2x-2` factorises to `(2x+1)(2x-2)`.
Give the axis of symmetry to 2 decimal places.
The roots are at `x=-frac(1)(2)` and `x=1`
The Axis of Symmetry is halfway between at `x=0.25`
Answer: `x=0.25`
If the Axis of Symmetry for a quadratic is `x=-3.5`, and one root is `x=-5`, what is the other root given that the root must be greater than -3?
The distance between the root and the axis is 1.5. As the question states that the root is greater than -3, then `-3.5 + 1.5 = 2`.
Answer: `x=-2`