Im Algebra

The cost of a laboratory chemical is represented by c(x) = 110(1.06)^x where x represents the number of years since 2015.  How much does it cost in 2015?

• $1,106

• $106

• $116.6

• $13.10

• $110

A graph can be represented by f(x) = 3.4512(2)^x.  The coordinates of A are (1, c) and the coordinates of B are (4, d).  What is the value of d/c?

• 2

• 6

• 8

• 10

• 12

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift down 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift up 2

Which transformation will occur if f(x) = x is replaced with 2f(x)?

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

Describe the transformation: f(x) = - (x - 2)² - 5

• right 2, down 5

• left 2, down 5

• reflection, right 2, down 5

• reflection, left 5, right 2

• horizontal trans left 15, vertical trans down 10
• horizontal trans right 15, vertical trans down 10
• horizontal trans right 15, vertical trans up 10
• horizontal trans left 15, vertical trans up 10

• horizontal shift right 8, vertical reflection (flip over x-axis)
• horizontal shift left 8, vertical reflection (flip over x-axis)
• horizontal shift right 8, horizontal reflection (flip over y-axis)
• horizontal shift left 8, horizontal reflection (flip over y-axis)

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis