The y-intercept of a function is the point where the graph of the function crosses the y-axis. This occurs when the value of x is zero. To find the y-intercept of the quadratic function f(x) = x² – 8x + 3, we need to substitute x with 0 in the function.
So, we have:
f(0) = (0)² – 8(0) + 3 = 0 – 0 + 3 = 3
Therefore, the y-intercept is at the point (0, 3). This means that when x is 0, the value of f(x) is 3. In summary, the y-intercept of the quadratic function f(x) = x² – 8x + 3 is 3.