For the quadratic function \( f(x)=x^{2}-2 x-8 \), answer parts (a) through (c). as needed.) B. There are no \( x \)-intercepts. What is the \( y \)-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The \( y \)-intercept is B. There is no y-intercept. Use the graphing tool to graph the function.

Function by following steps: - step0: Find the y-intercept: \(f\left(x\right)=x^{2}-2x-8\) - step1: Set \(x\)=0\(:\) \(f\left(0\right)=0^{2}-2\times 0-8\) - step2: Multiply: \(f\left(0\right)=0^{2}-0-8\) - step3: Simplify: \(f\left(0\right)=-8\) Let's solve the problem step by step. ### Part (a): Finding the \( y \)-intercept To find the \( y \)-intercept of the function \( f(x) = x^2 - 2x - 8 \), we evaluate the function at \( x = 0 \): \[ f(0) = 0^2 - 2(0) - 8 = -8 \] Thus, the \( y \)-intercept is \(-8\). ### Part (b): Conclusion about the \( y \)-intercept A. The \( y \)-intercept is \(-8\). ### Part (c): Graphing the function Unfortunately, I cannot provide a graph at this moment. However, you can graph the function \( f(x) = x^2 - 2x - 8 \) using graphing software or a graphing calculator. To summarize: - The \( y \)-intercept is \(-8\). - There are no \( x \)-intercepts, as stated in the problem. If you need further assistance or have more questions, feel free to ask!