Chapter 10 Story Problems

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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 &lt; y &lt; 12.288. Domain -32 &lt; x &lt; 32 .

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Domain x values

Range y values

Chapter 10 Story Problems

Domain x values

Range y values

p. 633 #40 Find domain and range

y = 0.012x2

Range 0 <y< 12.288

Domain -32<x< 32

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).

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?

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?

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.

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.

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.

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

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

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

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

Solve the equation.

2x2 – 20 = 78

3x2 – 7x + 2 = 0

5x2 – 4x = 2

7, -7

.33, 2

.

-.35, 1.15

Linear

.

Exponential

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

Solve the equation.

2x2 – 20 = 0

x2– 2x = 15

5x2 – 7x = -1

3.16, -3.16

-3, 5

.

.16, 1.24