Match the graph to the condition.

The image displays three conditions related to the parameters of a quadratic function and three corresponding graphs. To match them correctly, we need to analyze how the parameters affect the parabola's shape and position.

• Condition 1: a < 0, c > 0
• If a < 0, the parabola opens downwards.
• If c > 0, the y-intercept (where x=0) is positive.
• Looking at the graphs, Graph B shows a parabola opening downwards and intersecting the y-axis at a positive value.
• Condition 2: a > 0, c < 0
• If a > 0, the parabola opens upwards.
• If c < 0, the y-intercept is negative.
• Graph A shows a parabola opening upwards and intersecting the y-axis at a negative value.
• Condition 3: a > 0, c > 0
• If a > 0, the parabola opens upwards.
• If c > 0, the y-intercept is positive.
• The third graph (not explicitly labeled A, B, or C in the options, but implied as the third available choice) shows a parabola opening upwards and intersecting the y-axis at a positive value. This matches the third condition.

Matching:

• Graph A: Matches a > 0, c < 0
• Graph B: Matches a < 0, c > 0
• Third Graph (unlabeled): Matches a > 0, c > 0

Since the question asks to match the conditions to the graphs, and the options are presented as radio buttons next to the conditions, we infer the intended matching based on the visual representation.

Answer:

• a < 0, c > 0 corresponds to Graph B.
• a > 0, c < 0 corresponds to Graph A.
• a > 0, c > 0 corresponds to the third graph.