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Quadratic Graphs and Values

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Quadratic Graphs and Values worksheet preview

Quadratic Graphs and Values

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📚 WALT, Success Criteria & Support

WALT: We are learning to complete tables of values for quadratic equations, plot the coordinates on a Cartesian plane, and draw the parabolas so they combine into a butterfly shape.

Success Criteria:

• I can calculate y-values for given x-values using a quadratic rule.

• I can plot and label points accurately on the Cartesian plane.

• I can sketch smooth parabolas through plotted points and identify each vertex.

Differentiation:

• Support: use integer x-values and completed example for one equation; work in pairs if needed.

• Core: complete the tables, plot all points and sketch each parabola.

• Extension: modify one equation (change a or k) and predict how the graph moves; sketch the new curve.

Dyslexia-friendly reading options:

• Read each equation aloud; highlight numbers and operation signs; work with one equation at a time.

✏️ Part 2: Tables, Plotting & Reflection

1. Quick check: Which description fits a quadratic that opens downward?

Vertex is a minimum

Vertex is a maximum

It is a straight line

2. Complete the table for Quadratic A (right upper wing): y = (x - 3)^2 - 2

x values: 0, 1, 3, 5

y when x = 0:

y when x = 1:

y when x = 3:

y when x = 5:

Show short working:

3. Complete the table for Quadratic B (right lower wing): y = -(x - 3)^2 + 6

x values: 1, 3, 4, 6

y when x = 1:

y when x = 3:

y when x = 4:

y when x = 6:

Show short working:

4. Complete the table for Quadratic C (left upper wing): y = (x + 3)^2 - 2

x values: -5, -3, -1, 0

y when x = -5:

y when x = -3:

y when x = -1:

y when x = 0:

Show short working:

5. Complete the table for Quadratic D (left lower wing): y = -(x + 3)^2 + 6

x values: -6, -4, -3, -1

y when x = -6:

y when x = -4:

y when x = -3:

y when x = -1:

Show short working:

6. Plotting: On the Cartesian plane below plot the points from A, B, C and D and sketch each parabola smoothly. Label each vertex (A, B, C, D).
7. After plotting: Write the vertex coordinates for each quadratic.

Quadratic A vertex:

Quadratic B vertex:

Quadratic C vertex:

Quadratic D vertex:

8. Reflection: What symmetry do you see in your butterfly shape? How do the equations show this symmetry?
Extension (optional): Change the value of 'a' in Quadratic A to 2 (y = 2(x - 3)^2 - 2). Predict and sketch how the right upper wing changes.

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