Find the \( x \) - and \( y \)-intercepts. \[ x=y^{2}-49 \] Write each intercept as an ordered pair. If there is more than one intercept, use the "and" button. Select "None" if applicable. Part 1 of 2 Continue

To find the \( x \)- and \( y \)-intercepts of the equation \( x = y^{2} - 49 \), follow these steps: ### **1. Finding the \( x \)-intercept:** The \( x \)-intercept occurs where \( y = 0 \). 1. **Set \( y = 0 \) in the equation:** \[ x = (0)^{2} - 49 \] 2. **Calculate \( x \):** \[ x = 0 - 49 = -49 \] **\( x \)-intercept:** \( (-49, 0) \) ### **2. Finding the \( y \)-intercepts:** The \( y \)-intercepts occur where \( x = 0 \). 1. **Set \( x = 0 \) in the equation:** \[ 0 = y^{2} - 49 \] 2. **Solve for \( y \):** \[ y^{2} = 49 \] \[ y = \pm \sqrt{49} \] \[ y = \pm 7 \] **\( y \)-intercepts:** \( (0, 7) \) and \( (0, -7) \) ### **Summary of Intercepts:** - **\( x \)-intercept:** \( (-49, 0) \) - **\( y \)-intercepts:** \( (0, 7) \) **and** \( (0, -7) \)