IB Maths AA HL AA 2.2 practice question

Question 1

Paper 1, no calculatorHard6 marks

A non-constant quadratic function $f$ satisfies $f(x)=f(4-x)$ for every real $x$ It is also known that $f(4)=-2$ and $f(2)=6$

(a)

Determine $f(0)$

[1]

(b)

Determine $f(x)$ in vertex form.

[2]

(c)

Hence determine all real values of $m$ for which the line $y=mx$ intersects the graph of $y=f(x)$ at two distinct points.

[3]

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