To solve this problem, we need to identify the zeros of each quadratic function shown in the graphs. The zeros of a quadratic function are the x-values where the graph crosses the x-axis (i.e., where y = 0).
Let’s go through each graph one by one:
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Graph 1:
The parabola opens upward and crosses the x-axis at two points: x = -2 and x = 4.
→ Zeros:
-2, 4
Graph 2:
This parabola also opens upward and crosses the x-axis at x = -3 and x = 1.
→ Zeros:
-3, 1
Graph 3:
This is a downward-opening parabola that touches the x-axis at only one point: x = 2.
→ Zero:
2 (repeated zero)
Graph 4:
Upward-opening parabola crossing x-axis at x = -4 and x = 0.
→ Zeros:
-4, 0
Graph 5:
Downward-opening parabola crossing x-axis at x = -1 and x = 3.
→ Zeros:
-1, 3
Graph 6:
Upward-opening parabola touching the x-axis at x = 0.
→ Zero:
0 (repeated zero)
Graph 7:
Upward-opening parabola crossing x-axis at x = -3 and x = 1.
→ Zeros:
-3, 1
Graph 8:
Upward-opening parabola crossing x-axis at x = -2 and x = 2.
→ Zeros:
-2, 2
Graph 9:
Downward-opening parabola crossing x-axis at x = -4 and x = 0.
→ Zeros:
-4, 0
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All answers have been verified by visually inspecting where each graph intersects the x-axis.
Final Answer:
1. -2, 4
2. -3, 1
3. 2
4. -4, 0
5. -1, 3
6. 0
7. -3, 1
8. -2, 2
9. -4, 0
Parent Tip: Review the logic above to help your child master the concept of graphing quadratic equations worksheet.
