Quadratic or Not?

Name:

Date:

📚 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

✏️ 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

Quadratic or Not?

Quadratic or Not?

📚 Part 1: Multiple Choice

✏️ Part 2: Short Answers & Classification

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