\[
\begin{array}{l}
\text { lifelong } \\
\text { Algebra 1B } \\
\text { Credit } 3 \\
\text { L4L - Algebra 1B (2020) } \\
\text { Page/58 } \\
\end{array}
\]
(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)

Answer

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Answer

\(y = 3x^2 - 30x + 75 + 4 ; y\)-intercept: \(y = 3(0^2) - 30(0) + 79\),\(y = 79\)

Steps

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: \(y = 3(0^2) - 30(0) + 79\),\(y = 79\)