Solution
- The x-intercept is the value of x when y = 0 while the y-intercept is the value of y when x = 0.
- Thus, we have that
[tex]\begin{gathered} x^2=y+36 \\ \\ X-Intercept: \\ put\text{ }y=0 \\ x^2=0+36 \\ x^2=36 \\ \text{ Take the square root of both sides} \\ x=\pm\sqrt{36} \\ x=\pm6 \\ \\ \\ \\ Y-Intercept: \\ x^2=y+36 \\ put\text{ }x=0 \\ 0^2=y+36 \\ \therefore y=-36 \end{gathered}[/tex]
Final Answer
The x-intercepts are -6 and 6
The y-intercept is -36
