Problem
\[ \begin{array}{l} \text { lifelong } \\ \text { Algebra 1B } \\ \text { Credit } 3 \\ \text { L4L - Algebra 1B (2020) } \\ \text { Page/58 } \\ \end{array} \] (Lesson 19.3) 13. Given the below function in vertex form, determine what the vertex and axis of symmetry would be when you graph the function. (1 point) \[ y=3(x-5)^{2}+4 \] 14. Now write the above function in standard form and use it to identify the \( y \)-intercept. (1 point)
Solution
Step 1 ：\(V = (h, k) = (5, 4)\) ; \(AOS: x = 5\)
Step 2 ：\(y = 3(x - 5)^2 + 4 = 3(x^2 - 10x + 25) + 4\)
Step 3 ：\(y = 3x^2 - 30x + 75 + 4 ; y\)-intercept: \(y = 3(0^2) - 30(0) + 79\),\(y = 79\)
