1. The problem states that the function $s$ is in the form $$y = ax^2 + c$$ where $a < 0$ and $c > 0$.
2. Important rules for quadratic functions in this form:
- The sign of $a$ determines the direction the parabola opens: if $a < 0$, the parabola opens downward.
- The value of $c$ is the y-intercept, which is the point where the graph crosses the y-axis (at $x=0$).
3. Since $a < 0$, the parabola opens downward.
4. Since $c > 0$, the parabola crosses the y-axis above 0.
5. From the graph descriptions:
- Top-left graph: Parabola opens downward and crosses the y-axis above 0.
- Top-right graph: Parabola opens downward and crosses the y-axis below 0.
- Bottom-left graph: Parabola opens upward and crosses the y-axis below 0.
- Bottom-right graph: Parabola opens downward and crosses the y-axis below 0.
6. The graph that matches $a < 0$ and $c > 0$ is the top-left graph.
Final answer: The top-left graph represents the function $s$.
Parabola Direction 1966Ea
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