worksheet - graphing quadratic functions

A 3-2 Name ________________________

Date________

Period_______

WORKSHEET - GRAPHING QUADRATIC FUNCTIONS Describe and graph each transformation of f(x) = x2. 2

1. f(x) = 2x − 3

2. f(x) = (x – 2) − 7

Transformations:

10

2

⎛1 ⎞ 3. f(x) = ⎜ x ⎟ + 2 ⎝2 ⎠ Transformations:

2

Transformations:

y

10

y

10

8

8

8

6

6

6

4

4

4

2

2

2

x -10

-8

-6

-4

-2

2

4

6

8

x

10

-10

-8

-6

-4

-2

2

4

6

8

-4

-6

-4

-2

-4

-4

-6

-6

-6

-8

-8

-8

-10

-10

-10

10

y

10

8

8

6

6

6

4

4

4

2

2

4

6

8

10

6

8

y

2

x -10

-8

-6

-4

-2

10

6. f(x) =

Transformations:

y

4

1 2 x 2 Transformations:

5. f(x) = -3(x + 1)2 + 2

8

-2

2

-4

x -6

-8

-2

2

-8

-10

-2

Transformations:

-10

x

10

-2

4. f(x) = -2(x − 1)2 +7

10

y

2

4

6

8

10

x -10

-8

-6

-4

-2

2

-2

-2

-2

-4

-4

-4

-6

-6

-6

-8

-8

-8

-10

-10

-10

4

6

8

10

A 3-2 1 (x + 2)2 − 6 2 Transformations:

7. f(x) = (x + 3)2 + 6 Transformations:

10

9. f(x) = −x2 − 5

8. f(x) =

y

10

Transformations:

y

10

8

8

8

6

6

6

4

4

4

2

2

2

x -10

-8

-6

-4

-2

2

4

6

8

x

10

-10

-8

-6

-4

-2

2

4

6

8

x

10

-10

-8

-6

-4

-2

2

-2

-2

-2

-4

-4

-4

-6

-6

-6

-8

-8

-8

-10

-10

-10

Write the equation for each transformation of f(x) = x2. 10. ____________________ 10

11. ____________________

y

10

8

8

6

6

4

4

2

y

2 x

-10

-8

-6

-4

-2

2

4

6

8

10

x -10

-8

-6

-4

-2

2

-2

-2

-4

-4

-6

-6

-8

-8

-10

-10

12. ____________________ 10

4

6

8

10

8

10

13. ____________________

y

10

8

8

6

6

4

4

2

y

2 x

-10

-8

-6

-4

-2

2

4

y

6

8

10

x -10

-8

-6

-4

-2

2

-2

-2

-4

-4

-6

-6

-8

-8

-10

-10

4

6

4

6

8

10