Chapter 10 story problems
Download
1 / 17

Chapter 10 Story Problems - PowerPoint PPT Presentation


  • 54 Views
  • Uploaded on

Chapter 10 Story Problems. Domain x values Range y values. Chapter 10 Story Problems. Domain x values Range y values. p . 633 #40 Find domain and range y = 0.012x 2. Range 0 < y < 12.288. Domain -32 < x < 32 .

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Chapter 10 Story Problems' - jadon


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Chapter 10 story problems

Chapter 10 Story Problems

Domain x values

Range y values


Chapter 10 story problems1

Chapter 10 Story Problems

Domain x values

Range y values

p. 633 #40 Find domain and range

y = 0.012x2

Range 0 <y< 12.288

Domain -32<x< 32


Chapter 10 story problems2

Falling Objects - Two acorns drop from an oak tree.

One falls 45 feet while the other falls 32 feet.

Chapter 10 Story Problems

Write an equation. h = -16t2 + vt + s

h = -16t2 + 46 h = -16t2 + 32

Graph the equations and compare.

The vertex is (0,46) and the other is (0, 32).


Chapter 10 story problems3

Falling Objects - A pinecone falls about 25 feet from the

branch of the tree. How long does it take to land on the

ground?

Chapter 10 Story Problems

Write an equation. h = -16t2 + vt + s

h = -16t2 + 25 0 = -(4t – 5)(4t +5)

t = 1.25 sec.

Graph the equation.

Where does it cross the x-axis?


Chapter 10 story problems4

  • Suspension Bridges - p. 637 #4 The cables between the

  • Towers form a parbola with the equation y= 0.00014x2

  • 0.4x + 507 What is the height above the water at the

  • lowest point?

Chapter 10 Story Problems

X = -b/2a

X = -(-0.4)/2(0.00014) = 1428.6

Y = 0.00014(1428.6)2 – 0.4(1428.6) + 507 = 221 ft.

Graph the equation.

Where does it cross the x-axis?


Chapter 10 story problems5

Architecture - p. 639 #41 The parabolic arches that support

The Convention Center can be modeled by the equation

Y = -0.0019x2 + 0.71x What is the highest point?

Chapter 10 Story Problems

Graph the equation.

What are looking for? Vertex? X-intercept?

.

Use the 2nd Calc key to solve.

About 66 feet


Chapter 10 story problems6

Architecture - p. 639 #41 The parbolic arches that support

The Convention Center can be modeled by the equation

Y = -0.0019x2 + 0.71x What is the highest point?

Chapter 10 Story Problems

Graph the equation.

What are looking for? Vertex? X-intercept?

.

Use the 2nd Calc key to solve.

About 66 feet


Chapter 10 1 2 review

X = -2

Axis of symmetry

Vertex

Min or Max

Opens Up or Down

y = x2 + 4x + 4

(-2, 0)

Min

Chapter 10.1/2 Review

Up

Axis of symmetry

Vertex

Min or Max

Opens Up or Down

X = 0

(0, 6)

y = -2x2 + 6

Max

Down

.

Graph the equation.

Use the 2nd Calc key to solve.


Chapter 10 minimum or maximum

y = 5x2 + 3x + 12

Minimum Graph upward

Chapter 10 Minimum or Maximum?

Maximum Graph downward

y = -3x2 - 7x + 15

Minimum Graph upward

y = x2 - 5x + 6

y = -8x2 + 10x - 20

Maximum Graph downward

.

y = 4x2 - 5x - 25

Minimum Graph upward


Chapter 10 1 2 review1

X = 0

Axis of symmetry

Vertex

Min or Max

Opens Up or Down

y = -4x2 - 3

(0, -3)

Max

No Solutions

Chapter 10.1/2 Review

Down

Axis of symmetry

Vertex

Min or Max

Opens Up or Down

X = -3

y = x2 + 6x + 9

(-3, 0)

Min

-3

Up

Axis of symmetry

Vertex

Min or Max

Opens Up or Down

X = 4.5

y = x2 – 9x + 14

( 4.5, -6.25)

Min

7, 2

Up


Chapter 10 story problems7

Sports Event – During an ice hockey game, a blimp flies 45 ft.

above the crowd and drops a numbered ball. The number

on the ball corresponds to a prize. Find the amount of time

in the air.

Chapter 10 Story Problems

Graph the equation.

What are looking for? Vertex? X-intercept?

.

h = -16t2 + vt + s

About 1.7 sec


Chapter 10

Solve the equation using the quadratic formula.

x2 + 4x + 1 = 0

X2 – 6x + 12 = 0

X2 – 6x + 9 = 0

-3.73 -0.27

Chapter 10

No solutions

.

3


Chapter 101

Solve the equation.

2x2 – 20 = 78

3x2 – 7x + 2 = 0

5x2 – 4x = 2

7, -7

Chapter 10

.33, 2

.

-.35, 1.15


Chapter 102

Linear, Quadratic, or Exponential Function?

Chapter 10

Quadratic

Linear

.

Exponential


Chapter 10 1 2 review2

X = 0

Axis of symmetry

Vertex

Min or Max

Opens Up or Down

y = 3x2 + 4

(0, 4)

Min

No Solutions

Chapter 10.1/2 Review

Up

Axis of symmetry

Vertex

Min or Max

Opens Up or Down

X =-1

y = x2 + 2x + 1

(-1, 0)

Min

-1

Up

Axis of symmetry

Vertex

Min or Max

Opens Up or Down

X =-3.5

y = -x2– 7x +8

(-3.5,44.75 )

Max

-8, 1

Down


Chapter 103

Solve the equation.

2x2 – 20 = 0

x2– 2x = 15

5x2 – 7x = -1

3.16, -3.16

Chapter 10

-3, 5

.

.16, 1.24


Chapter 104

Linear, Quadratic, or Exponential Function?

Chapter 10

Quadratic

Linear

.

Exponential