Let's look at the graph of the function $y = x^2 - 4$. Step 1: This is a U-shaped curve called a parabola. Step 2: The $-4$ moves the whole curve down by 4 units. Step 3: To find the x-intercepts, we set $y = 0$ and solve $x^2 - 4 = 0$. Step 4: Add 4 to both sides: $x^2 = 4$. Step 5: Take the square root: $x = 2$ or $x = -2$. Step 6: So, the x-intercepts are $(2, 0)$ and $(-2, 0)$. Step 7: To find the y-intercept, set $x = 0$ and find $y$. Step 8: $y = 0^2 - 4 = -4$. Step 9: So, the y-intercept is $(0, -4)$. The final answer: The graph is $y = x^2 - 4$ with x-intercepts at $(2, 0)$ and $(-2, 0)$, and y-intercept at $(0, -4)$.