Intermediate Algebra (11th edition)

SECTION 9.5 Graphs of Quadratic Functions 537

Complete solution available
on the Video Resources on DVD

1.Concept Check Match each quadratic function with its graph from choices A–D.

(a) A. B.

(b)

(c) C. D.

(d)

2.Concept Check Match each quadratic function with its graph from choices A–D.

(a) A. B.

(b)

(c) C. D.

(d)

Identify the vertex of each parabola. See Examples 1– 4.

For each quadratic function, tell whether the graph opens up or down and whether the graph

is wider, narrower, or the same shape as the graph of. See Examples 4 and 5.

15. 16.

17. 18.ƒ 1 x 2 =-

1

3

ƒ 1 x 2 =- 41 x+ 222 + 5 1 x+ 622 + 3

ƒ 1 x 2 =

2

3

ƒ 1 x 2 = 3 x^2 + 1 x^2 - 4

ƒ 1 x 2 =- ƒ 1 x 2 =- 2 x^2

2

5

x^2

ƒ 1 x 2 =x^2

ƒ 1 x 2 = 1 x+ 522 - 8 ƒ 1 x 2 =- 1 x- 522 + 6 ƒ 1 x 2 =- 1 x- 222 + 1

ƒ 1 x 2 = 1 x- 122 ƒ 1 x 2 = 1 x+ 322 ƒ 1 x 2 = 1 x+ 322 - 4

ƒ 1 x 2 = ƒ 1 x 2 =x^2 + 4 ƒ 1 x 2 =x^2 - 4

1

2

ƒ 1 x 2 =- 3 x^2 x^2

ƒ 1 x 2 =- 1 x- 222

ƒ 1 x 2 =- 1 x+ 222

ƒ 1 x 2 =-x^2 - 2

ƒ 1 x 2 =-x^2 + 2

ƒ 1 x 2 = 1 x- 222 + 1

ƒ 1 x 2 = 1 x- 222 - 1

ƒ 1 x 2 = 1 x+ 222 + 1

ƒ 1 x 2 = 1 x+ 222 - 1

9.5 EXERCISES

x

y

2

–1

(^0) x
y
–2
–1
0
x
y
–2^0
(^1) x
y
(^02)
1
x
y
2
0
–4
x
y
–2
0
–4
x
y
0
–2^2
x
y
0
2
2