The roots of a quadratic graph are where the graph intersects with the x-axis.
The turning point is the maximum or minimum point of the graph.
The coordinates of the turning point can be found by completing the square.
Keywords
Roots - When drawing the graph of an equation, the roots of the equation are where its graph intercepts the x-axis (where y = 0).
Turning point - The turning point of a graph is a point on the curve where, as x increases, the y values change from decreasing to increasing or vice versa.
Common misconception
Parabolas are 'upwards' or 'downwards'.
Encourage use of language such as "The turning point of this parabola is a maximum/minimum value" and "As the absolute values of $$x$$ increase, the $$y$$ values decrease/increase".
Model good technical language and get pupils to repeat it to you. This encourages use of the correct mathematical language.