Math 2 Unit 4B Quadratics Review

Describing Transformations

100

2. Describe the translation of the following: 

y=-0.2(x-4)^2+8

flipped

wide by 0.2

right 4

up 8

200

Describe the transformation

y=-(x-1)^2+6

flipped, right 1, and up 6

Analyzing a Graph

100

Number 7 Identify the x-intercepts and vertex. 

x-int (-4,0) and (2,0)

vertex: (-1, 9)

200

Number 7: State the Increasing and decreasing intervals

inc: (-inf., -1)

dec: (-1, inf.)

300

Number 7: Identify the Domain and Range

D: (-inf, inf)

R: (-inf., 9]

400

Number 8: State the positive and negative intervals. 

Pos: (-inf., -1) U (4, inf)

Neg: (-1,4)

500

Number 9: State the positive and negative intervals

Pos: (-inf, -1) U (2.5, inf)

neg.: (-1, 2.5)

Word Problems

100

Number 10: 

a) What is the maximum height the rocket will reach? _________________________________

19.14 feet

200

Number 10 

c) How long does it take the rocket the hit the ground? ________________________________

2.19 seconds

300

Number 11

c) Approximately what time does the rock reach its maximum height? __________________

4.62 seconds

400

Number 11

e) What is the approximate height at 5 seconds? _____________________________

141 feet

500

Number 10 

e) During what time interval is the rocket going up? ___________________________________

0 to 1.09 seconds

Writing Equations

100

3. Write the equation that has a vertex at (1, 5) and is flipped over the x-axis.

_________________________________________

y=-(x-1)^2 +5

200

4. Write the equation of the parabola that has shifted right 2 units and down 3 units.

_________________________________________

y=(x-2)^2-3

300

6. Write the equation of the parabola that has shifted right 5 units and down 1 unit, and narrow by 3.

_________________________________________

y=3(x-5)^2-1

400

1. Identify the vertex of the following: y=3(x-1)^2+2

________________________________

(1,2)

Anything goes...

100

5. Identify the vertex of the following equation: y=0.5x^2-1 (Hint: find max or min.) _______________________________

(0,-1)

200

Number 7: 

Is the parabola a max or min? 

What is the axis of symmetry? 

Max. and x=-1

300

Number 8: 

What is the vertex and is the parabola a maximum or minimum? 

(Hint: you have to use calculator to find exact numbers)

(1.5, 6.25) and minimum.

400

Number 10 

b) How long does it take to reach the maximum height? ________________________________

1.09 seconds

500

Number 10

d) At what time(s) is the object exactly 15 feet off the ground? _________________________

0.59 and 1.60 seconds