Consider a parabola of the form $y=ax^2+bx+c$y=ax2+bx+c, where $a>0$a>0
Which of the following statements is true?
Each parabola below has an equation of the form $y=ax^2+bx+c$y=ax2+bx+c.
Select all the graphs for which $a>0$a>0
Find the maximum or minimum value of the quadratic function f : x ↦ ax^2 + bx + c by any method.
Use the maximum or minimum value of f(x) to sketch the graph or determine the range for a given domain.
Know the conditions for f(x) = 0 to have two real roots, two equal roots, no real roots. Know the related conditions for a given line to intersect a given curve, be a tangent to a given curve, not intersect a given curve.