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# Functions

# Quadratic Functions Exercises

### Example 1

Sketch a graph of the following: *y* = *x*^{2} – 1.

### Example 2

Sketch a graph of the following: *y* = *x*^{2} + 3.

### Example 3

Sketch a graph of the following: *y* = -*x*^{2} + 3.

### Example 4

Sketch a graph of the following: *y* = -*x*^{2} – 1.

### Example 5

For the following graph of a quadratic polynomial, find the roots of the polynomial, if any exist.

### Example 6

For the following graph of a quadratic polynomial, find the roots of the polynomial, if any exist.

### Example 7

For the following graph of a quadratic polynomial, find the roots of the polynomial, if any exist.

### Example 8

For the following graph of a quadratic polynomial, find the roots of the polynomial, if any exist.