Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

C1 - Quadratics

Can anyone link me some of the hardest quadratic questions they have seen or they believe are difficult.
Any will be appreciated, thanks.

I don't know of any exact quadratic questions, but I've been looking through a lot of past papers and if one of the last questions on the paper is a quadratic one then it'll be quite hard.

I tried to think of something difficult but I just couldn't as far as quadratic equations go on their own. For any quadratic equation the answer can just be obtained by plugging a, b and c into the formula and that's job done.
Is this for GCSE or A level?

Use Completing the square to find the minimum point of the curve y=x^2-6x+1

Original post by ThatAwesomeGuy

Use Completing the square to find the minimum point of the curve y=x^2-6x+1

They're supposed to be hard questions.

Original post by GCSE2016Troop

Can anyone link me some of the hardest quadratic questions they have seen or they believe are difficult.
Any will be appreciated, thanks.

Find the coordinates of the vertex of the curve

y=ax^2+bx+c

.
By using the coordinates you find of the vertex of the curve, show that the curve crosses the x axis if and only if

b^2\geq 4ac

, and state the geometric configuration of the curve and the x axis if

b^2=4ac

.
Explain why the curve does not cross the x axis if

b^2-4ac<0

.
[HINT: Consider two cases:

a>0

and

a<0

].

(edited 7 years ago)

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