Practice

Name

Class

5-1

Date

Practice

Form K

Quadratic Functions and Transformations

Graph each function. 1. y = 4 x

2. f ( x) = –3 x

2

2

3. y = -

1 2 x 2

Graph each function. How is each graph a translation of f(x) = x2 ? 4. f ( x) = x + 4

5. f ( x) = ( x + 3)

2

7. f ( x) = ( x - 5)

2

8. f ( x) = x + 6 2

2

6.

f ( x) = x 2 - 2

9.

f ( x) = ( x + 1) 2

What are the vertex, the axis of symmetry, the maximum or minimum value, the domain, and the range of each function?

10.

f ( x) = 2( x - 4)2 + 3

11.

f ( x) = -( x + 3)2 - 2.5

12.

f ( x) = -2( x - 6)2

15.

f ( x) = ( x + 2) 2 - 7

What is the graph of each function? Identify the axis of symmetry. 13.

f ( x) = 6( x - 1)2 - 4

14.

f ( x) = -( x + 5)2 + 2

Write the equation of each parabola in vertex form. 23. vertex (–2, –5), point (–6, 0)

24. vertex (1, 3), point (2, 5)

What quadratic function models each graph? 16.

17.

18.

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