1. **State the problem:** Find the roots of the quadratic function $$h(x) = 2x^2 - 8x$$. 2. **Formula used:** To find the roots of a quadratic equation $$ax^2 + bx + c = 0$$, we set the function equal to zero and solve for $$x$$. 3. **Set the equation to zero:** $$2x^2 - 8x = 0$$ 4. **Factor the equation:** $$2x(x - 4) = 0$$ 5. **Apply the zero product property:** If $$ab = 0$$, then either $$a = 0$$ or $$b = 0$$. 6. **Solve each factor:** - $$2x = 0 \Rightarrow x = 0$$ - $$x - 4 = 0 \Rightarrow x = 4$$ 7. **Final answer:** The roots of the equation are $$x = 0$$ and $$x = 4$$, so the points are $$(0, 0)$$ and $$(4, 0)$$.