II. Paura la parabola cuya ecuación se da, obtener: \( \begin{array}{llll}\text { a) vértice. } & \text { b) foco, } & \text { c) ecuación del eje, } & \text { d) ecuación de la directulı. } \\ \begin{array}{ll}\text { 1) } y=\frac{1}{4} x^{2}-\frac{3}{2} x+\frac{17}{4}, & \text { 2) } y=\frac{1}{4} x^{2}-x+4\end{array} \\ \begin{array}{ll}\text { 3) } x=\frac{1}{8} y^{2}-\frac{1}{2} y+\frac{3}{2} & \text { 4) } x=\frac{1}{8} y^{2}-\frac{3}{4} y+\frac{17}{8}\end{array}\end{array} \)

What is a circle?

42. \( A B C \) is an isosceles triangle such that \( A B=A C \) \( A \) has coordinates \( (4,37) \) \( B \) and \( C \) lie on the line with equation \( 3 y=2 x+12 \) Find an equation of the line of symmetry of triangle \( A B C \). Give your answer in the form \( p x+q y=r \) where \( p, q \) and \( r \) are integers. Show clear algebraic working.

7) Даны векторы \( \vec{a}\{-4 ; 1\}, \vec{b}\{0 ;-2\}, \vec{c}\{3 ;-1\} \). 1. Найдите координаты вектора \( \vec{m}=\vec{a}-2 \vec{b}+3 \vec{c} \). 2. Запишите разложение вектора \( \vec{m} \) по координатнь векторам \( \vec{\imath} \) и \( \vec{\jmath} \).

1) Vertex \( (4,5) \); passes through \( (1,2) \)

Tegn en figur som illustrerer \( 13 \% \).