Unit 3 Review - Transformations of Parent Functions

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

Which of the following is the correct equation for the given graph?

• f(x) = (x-2)² - 1
• f(x) = (x+2)² - 1
• f(x) = (x-2)² +1
• f(x) = (x+2)² +1

What transformations took place from the original function f(x)=(x-2)² + 2
to    g(x) = (x+1)² + 7

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

What is the range of the function:  
f(x) = -2(x - 7)² 

• (-∞,∞)
• (-∞,7]
• (-∞,0]
• (-∞,-7]

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) ,
what is the vertex of g(x)?

• (-2, 5)
• (-6, 5)
• (-4, 3)
• (-4, 7)

let f(x)=4x²+5x
Create a new equation g(x) by applying the following transformations:
reflect over x-axis, horizontal stretch of 1/2, shift up 3

• -4(x+1/2)² -5x+ 1/2
• -4(1/2x)²+ 5/2x+3
• 4(-1/2x)² - 5/2x+3
• -4(1/2x)²- 5/2x +3

Given f(x) = 3x² - 2x + 1 and
g(x) = x - 4,
find (f⋅g)(x). 

• 3x³ - 10x² - 7x - 4
• 3x³ - 14x² + 9x - 4
• 3x² - x - 3
• 3x³ + 14x² - 9x - 4

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Is the graph an even, odd, or neither function
                        f(x) = x² + 2

• Even 
• Odd
• Neither

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(½)).

• 35/4
• 13/4
• 17/2
• None of the Above