The y-intercept is the point in which the function crosses the y-axis. That is, is the point (0, y).
To solve this question, follow the steps below.
Step 1: Substitute x by 0.
[tex]\begin{gathered} f(x)=2x^2+5x-1 \\ f(0)=2\cdot0^2+5\cdot0-1 \\ f(0)=0+0-1 \\ f(0)=-1 \end{gathered}[/tex]Step 2: Write the point.
The y-intercept is the point (0, -1).