ANSWER
![y=-4](https://img.qammunity.org/2023/formulas/mathematics/high-school/j5a67502kbz35er22qeqi1zn580aohtens.png)
Step-by-step explanation
We want to find the y-intercept of the equation in question.
The general form of a quadratic equation is:
![y=ax^2+bx+c](https://img.qammunity.org/2023/formulas/mathematics/high-school/g7mvpjunjwe6qob7ddy7l4f0glbtdi9gci.png)
A quadratic equation with a = 5, b = 8 and c = -4 can therefore be written as:
![y=5x^2+8x-4](https://img.qammunity.org/2023/formulas/mathematics/college/hax30yjqz2aqf8n5ep8e04xuuq4mge082m.png)
The y-intercept is the value of y when x = 0.
Therefore, the y-intercept is:
![\begin{gathered} y=5(0)^2+8(0)-4 \\ y=0+0-4 \\ y=-4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/7q1ep8ehkjnjxc7m7g1r2vqt8mfv20qk1u.png)