1. **State the problem:** We are given the quadratic function $$y = 2x^2 - 6x + 4$$ and asked to find the value of $$y$$ when $$x = -2$$. 2. **Substitute the value of $$x$$ into the function:** Replace $$x$$ with $$-2$$ in the equation: $$y = 2(-2)^2 - 6(-2) + 4$$ 3. **Calculate each term:** - $$(-2)^2 = 4$$ - So, $$2 \times 4 = 8$$ - $$-6 \times (-2) = 12$$ 4. **Sum all terms:** $$y = 8 + 12 + 4$$ 5. **Add the numbers:** $$y = 24$$ **Final answer:** When $$x = -2$$, $$y = 24$$.