6. find the y-intercept about \( y=x^{2}-3 x-10 \)

To find the y-intercept of the equation \( y = x^2 - 3x - 10 \), you simply set \( x = 0 \) and solve for \( y \). Plugging in 0 gives you \( y = 0^2 - 3(0) - 10 = -10 \). So, the y-intercept is at the point \( (0, -10) \). It’s like dropping a pebble into a pond—just set \( x \) to zero and watch the ripples (the y-values) form! Don't forget! The y-intercept is where the graph crosses the y-axis, and that’s critical for sketching or understanding the shape of a quadratic function. A visual tip: while sketching, plotting the y-intercept gives you a great starting point! Remember that the parabola opens upwards since the coefficient of \( x^2 \) is positive, which will influence how the graph looks around that y-intercept.