Nusret Balcı TMUA Paper 1 · Question 7

It is given that $f(x)=x^2-4x$ .

Two curves are defined by:

C_1:y=f(kx)\qquad C_2:y=f(x-p)

where $k$ and $p$ are constants such that $k>1$ and $p>0$ .

The curves $C_1$ and $C_2$ intersect at two distinct points, $A$ and $B$ . It is given that the midpoint of the line segment $AB$ lies on the $y$ -axis.

Which of the following expresses $k$ in terms of $p$ ?

k=\frac{p+2}{2}

k=\frac{p+4}{4}

k=\frac{p+4}{2}

k=\frac{p+2}{p}

k=\frac{p-2}{2}

k=\sqrt{p+1}

examday

Nusret Balcı TMUA Paper 1 · Q7