Graphing Quadratic Function Worksheets - Free Printable

Let’s solve each problem step by step.

We are asked to identify the zeros of each quadratic function shown in the graphs.
The “zeros” of a function are the x-values where the graph crosses or touches the x-axis — that is, where y = 0.

We’ll go one graph at a time (labeled 1 through 9).

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Graph 1:
- The parabola opens upward.
- It touches the x-axis at two points: x = -3 and x = 1.
→ Zeros: -3, 1

Graph 2:
- Parabola opens upward.
- Crosses x-axis at x = -2 and x = 2.
→ Zeros: -2, 2

Graph 3:
- Parabola opens downward.
- Crosses x-axis at x = -3 and x = 1.
→ Zeros: -3, 1

Graph 4:
- Parabola opens upward.
- Crosses x-axis at x = -4 and x = 2.
→ Zeros: -4, 2

Graph 5:
- Parabola opens downward.
- Crosses x-axis at x = 1 and x = 3.
→ Zeros: 1, 3

Graph 6:
- Parabola opens upward.
- Touches x-axis at only one point: x = -3 (vertex on x-axis).
→ Zero: -3 (repeated zero, but we list it once unless specified otherwise)

Graph 7:
- Parabola opens upward.
- Crosses x-axis at x = -3 and x = 1.
→ Zeros: -3, 1

Graph 8:
- Parabola opens upward.
- Crosses x-axis at x = -1 and x = 3.
→ Zeros: -1, 3

Graph 9:
- Parabola opens downward.
- Crosses x-axis at x = -3 and x = 1.
→ Zeros: -3, 1

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Final Answer:

1. -3, 1
2. -2, 2
3. -3, 1
4. -4, 2
5. 1, 3
6. -3
7. -3, 1
8. -1, 3
9. -3, 1