Let's learn about the graph of $y = x^2$! Step 1: This is a special curve called a parabola. Step 2: When $x = 0$, $y = 0^2 = 0$. So the graph passes through the point $(0,0)$. Step 3: When $x = 1$, $y = 1^2 = 1$. So the point $(1,1)$ is on the graph. Step 4: When $x = -1$, $y = (-1)^2 = 1$. So the point $(-1,1)$ is also on the graph. Step 5: The graph looks like a smile, opening upwards. Step 6: The $y$-intercept is at $(0,0)$. Step 7: The $x$-intercept is also at $(0,0)$. Great job learning about the graph of $y = x^2$!