PreCalculus CA-A Test Corrections

Describe how the graph of f (dashed) was transformed to get the graph of g (solid).

(a)  

Write an equation for g(x) in terms of f.

​ (b)  

• vertical dilation by a factor of 6
• vertical dilation by a factor of −6
• horizontal translation by 5
• horizontal translation by −5
• g(x)=f(x-6)
• g(x)=5f(x)
• g(x)=f(x+5)
• g(x)=6f(x)

• (−12, 25)

• (25, 12)

• (25, 8)

• (25, −8)

Describe how the graph of f (dashed) was transformed to get the graph of g (solid).

(a)  

Write an equation for g(x) in terms of f.​ (b)   ​

• vertical dilation by a factor of 2
• vertical dilation by a factor of 4
• horizontal translation by 2
• horizontal translation by 4
• g(x)=2f(x)
• g(x)=f(x-2)
• g(x)=-4f(x)
• g(x)=f(x+4)

If f(-x) = -f(x) for all x, f is an ​ (a)   function.

If f(-x) = f(x) for all x, f is an ​ (b)   function.

• odd
• constant

• periodic

• even

Tags

CCSS.HSF.BF.B.3

Match each function type to its correct form:

• Linear Function

• 
• Inverse variation Function

  (rational function)

• 
• Exponential Function

• 
• Power Function

• 
• Quadratic Function

• 

Flora Lee owns a plant nursery. She wants to stack together flower pots of a given size and pack them into cartons. Her employee Jack Potts figures out that the height of a stack of these kinds of pots is given by the function:

f(n) = 2.7n + 6.3

where n is the number of pots and f(n) is the height of the stack in centimeters.

Which type of function is this?

​ ​ (a)  

How high is one pot?

​ (b)   ​

What would be the height of two pots?

​ (c)  

Can I just double my first answer to one pot height?

​ (d)  

• quadratic function
• linear function
• exponential function

• power function

• 9
• 11.7
• 18
• 6.3
• Yes
• No

• -5
• 4
• -4
• 6
• 5
• horizontal dilation by a factor of -3/2
• horizontal dilation by a factor of 3/2
• vertical dilation by a factor of 3/2
• vertical dilation by a factor of -3/2

The acceleration acting on a falling object due to gravity varies inversely with the square of the object's distance from the center of Earth. At the surface of Earth, where x = 1 Earth radius, the acceleration is y = 9.8 m/s². Use the multiply–multiply pattern of power functions to find the acceleration at 3 and at 9 Earth radii from the center. (Select two answers)(All answers rounded down)

• 1.0888 m/s²

• 1.543 m/s²

• 1.224 m/s²

• 0.1209 m/s²

• 0.9311 m/s²

• 7
• 16,384

• 11

• 28

Condense log 42 - log 6

• log 48

• log 36

• log 7

• log 252