A quadratic function \( f(x) \) is hidden from view. You must find the \( y \)-intercept(s) of \( f(x) \) and write the answer(s) in the form \( (x, y) \). Choose the form of the quadratic unction \( f(x) \) that you would like to see in order to answer the question most efficiently. Form: Select alform \( \begin{array}{l}\text { Standard Form } \\ \text { Vertex Form } \\ \text { Answer Factored Form }\end{array} \)

QUESTION 3 3.1 Given the number pattern \( 2 ; y ; 8 ; \ldots \) Determine the value of \( y \) if: 3.1.1 The number pattern is linear. 3.1.2 The number pattern is quadratic and \( T_{4}=2+5 y \). 3.2 In a linear number pattern, the \( 19^{\text {th }} \) term is 40 and the \( 7^{\text {th }} \) term is 16 . Thus, determine the first two terms. 3.3 The general term of a quadratic number pattern is \( T_{n}=n^{2}+2 n-15 \). Determine which term has a value of 20 .

9. Use any method to solve the system: \( \left\{\begin{array}{c}x^{2}+y^{2}=9 \\ 9 x^{2}+4 y^{2}=36\end{array}\right. \)

If \( f(x)=\left\{\begin{array}{ll}2 x-5 & \text { if }-2 \leq x \leq 4 \\ x^{3}-4 & \text { if } 4<x \leq 5\end{array}\right. \), find: (a) \( f(0) \), (b) \( f(1),(c) f(4) \), and \( (d) f(5) \). (a) \( f(0)=\square \) (b) \( f(1)=\square \) (c) \( f(4)=\square \) (d) \( f(5)=\square \)

-11) \( \frac{22^{4} \cdot 8^{4}}{121^{4} \cdot 4^{6}}= \)

3. \( 3 x(4 x-5) \)