Question

Match the correct description with the graph, table, and equation.(6 points)




y=3x2+2

2x+3y=39

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Answer 1

I don’t have the graph, table, or the three description choices you’re matching, so I can’t finish the match yet. If you paste the descriptions or an image of the graph/table I’ll match them exactly.

Meanwhile, here are the key identifying features you can use to match each equation:

- y = 3x^2 + 2
- Quadratic (parabola) opening upward.
- Vertex at (0, 2).
- Symmetric about the y‑axis: y(1)=y(−1)=5, y(2)=y(−2)=14, etc.
- Table would show symmetry in x values and rapidly increasing y for larger |x|.

- 2x + 3y = 39 (rewrite: y = −(2/3)x + 13)
- Linear function (straight line).
- Slope = −2/3 (falls 2 units in y for every 3 units increase in x).
- y‑intercept = 13 (point (0,13)).
- x‑intercept = 19.5 (point (19.5,0)).
- Table would show y decreasing linearly as x increases (e.g., x=0→y=13; x=3→y=11; x=6→y=9).

Send the three descriptions (or the graph/table) and I’ll match them.