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Quadratic Graphs & Roots

y = x^2 - 4

Discriminant (b² − 4ac)16.00

Real roots-2.00 and 2.00

Turning point(0.00, -4.00)

a (opening & width)1

b (slant)0

c (height / y-intercept)-4

Make the parabola open downwards
Give the curve two real roots (it must cross the x-axis twice)
Make the curve just TOUCH the x-axis — one repeated root, discriminant zero
Lift the parabola clear of the axis so it has no real roots
Put the turning point at a depth of about y = −4