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Vertex Form & Graphs of Parabolas — Easy Worksheet 1
Grade 11 · MathSheets Name: ____________________ Date: __________
Answer each question about the parabola.
How to solve
In vertex form y = a(x - h)2 + k the vertex is (h, k) and the axis of symmetry is x = h. If a > 0 the parabola opens up and k is the minimum value; if a < 0 it opens down and k is the maximum. To convert y = x2 + bx + c, complete the square: h = -b2, then k = c - h2.
Example
Find the vertex of y = -2(x - 3)² + 1. Write it as (h, k).
Answer: (3, 1)
✓ Correct!
Not quite. The answer is
💡 How to solve: Vertex Form & Graphs of Parabolas
In vertex form y = a(x - h)2 + k the vertex is (h, k) and the axis of symmetry is x = h. If a > 0 the parabola opens up and k is the minimum value; if a < 0 it opens down and k is the maximum. To convert y = x2 + bx + c, complete the square: h = -b2, then k = c - h2.
Try a similar one
Find the vertex of y = -2(x + 2)² - 1. Write it as (h, k).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Vertex Form & Graphs of Parabolas
In vertex form y = a(x - h)2 + k the vertex is (h, k) and the axis of symmetry is x = h. If a > 0 the parabola opens up and k is the minimum value; if a < 0 it opens down and k is the maximum. To convert y = x2 + bx + c, complete the square: h = -b2, then k = c - h2.
Try a similar one
Find the vertex of y = -2x² - 4. Write it as (h, k).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Vertex Form & Graphs of Parabolas
In vertex form y = a(x - h)2 + k the vertex is (h, k) and the axis of symmetry is x = h. If a > 0 the parabola opens up and k is the minimum value; if a < 0 it opens down and k is the maximum. To convert y = x2 + bx + c, complete the square: h = -b2, then k = c - h2.
Try a similar one
Find the vertex of y = (x + 2)² - 3. Write it as (h, k).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Vertex Form & Graphs of Parabolas
In vertex form y = a(x - h)2 + k the vertex is (h, k) and the axis of symmetry is x = h. If a > 0 the parabola opens up and k is the minimum value; if a < 0 it opens down and k is the maximum. To convert y = x2 + bx + c, complete the square: h = -b2, then k = c - h2.
Try a similar one
Find the vertex of y = -2(x - 1)². Write it as (h, k).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Vertex Form & Graphs of Parabolas
In vertex form y = a(x - h)2 + k the vertex is (h, k) and the axis of symmetry is x = h. If a > 0 the parabola opens up and k is the minimum value; if a < 0 it opens down and k is the maximum. To convert y = x2 + bx + c, complete the square: h = -b2, then k = c - h2.
Try a similar one
Find the vertex of y = 2(x + 2)² + 3. Write it as (h, k).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Vertex Form & Graphs of Parabolas
In vertex form y = a(x - h)2 + k the vertex is (h, k) and the axis of symmetry is x = h. If a > 0 the parabola opens up and k is the minimum value; if a < 0 it opens down and k is the maximum. To convert y = x2 + bx + c, complete the square: h = -b2, then k = c - h2.
Try a similar one
Find the vertex of y = (x - 4)² - 3. Write it as (h, k).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Vertex Form & Graphs of Parabolas
In vertex form y = a(x - h)2 + k the vertex is (h, k) and the axis of symmetry is x = h. If a > 0 the parabola opens up and k is the minimum value; if a < 0 it opens down and k is the maximum. To convert y = x2 + bx + c, complete the square: h = -b2, then k = c - h2.
Try a similar one
Find the vertex of y = (x + 3)² - 2. Write it as (h, k).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Vertex Form & Graphs of Parabolas
In vertex form y = a(x - h)2 + k the vertex is (h, k) and the axis of symmetry is x = h. If a > 0 the parabola opens up and k is the minimum value; if a < 0 it opens down and k is the maximum. To convert y = x2 + bx + c, complete the square: h = -b2, then k = c - h2.
Try a similar one
Find the vertex of y = (x - 2)² + 4. Write it as (h, k).
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Vertex Form & Graphs of Parabolas — Easy Worksheet 1
Answer each question about the parabola.