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Quadratic or Not?

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Quadratic or Not? worksheet preview

Quadratic or Not?

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📚 Part 1: Multiple Choice

1. Which equation represents a quadratic function?

y = 2x² + 3x − 5

y = 3x + 1

y = x³ − 2x

y = 4/x

2. Which graph description is a quadratic (parabola)?

Smooth U-shaped curve opening upward or downward

Straight line

V-shaped absolute value

Rapidly increasing exponential curve

3. For y = −x² + 2x + 3, the parabola opens:

Upward

Downward

4. Is y = (x − 1)(x + 2) a quadratic function?

Yes

No

✏️ Part 2: Short Answers & Classification

5. Which coefficient in y = ax² + bx + c determines whether the parabola opens up or down?
6. Classify each function below. Write "Quadratic — opens up/down" or "Not quadratic". Use the space provided.
a) y = 0.5x² − 4
b) y = −2x + 7
c) y = x³ − x
7. List two visual features on a graph that help you identify it as quadratic (parabola):
8. Match each equation (left) with the best graph description (right). Draw a line to match.
A. y = x²
B. y = −x² + 4
C. y = 2x
D. y = x³
1. Straight line (constant slope)
2. Parabola opening upward
3. S-shaped cubic curve
4. Parabola opening downward

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