Q1
Answer
Two circles have equations $x^2 + y^2 = 7$ and $x^2 - 2x + y^2 + 2y = 14$. Determine the number of times these circles intersect.
$2$
Q2
Answer
Describe a series of transformations that would map the curve $y = x^2$ onto the curve $y = 2x^2 + 12x +17$.
Translation by 3 left; stretch scale factor of 2 followed by translation by 1 down
Q3
Answer
Solve $$\cos (2x + 10^{\circ}) = \tan (2x + 10^{\circ} + \sec(2x + 10^{\circ})$$ in the range $-180^{\circ} < x \leq 180^{\circ}$.
$-95, -50, -5, 85, 130, 175$