Unit 14 QUIZ Transformations

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

How did we transform from the quadratic parent function of y=x² to

y = -3x²

• reflection in x-axis and vertical shift down

• reflection x-axis and more narrow

• horizontal shift

• reflection x-axis and and wider

Which of the following represents the quadratic parent function of y = x²  shifted right 7 units?

• A
• B
• C
• D

If the blue graph is
f(x) = x² 
then the red must be...

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Tags

CCSS.HSG.CO.A.2

How would the following equation be different than y=x²?
y=(x-4)²

• Left 4
• Right 4
• Up 4
• Down 4

Which of the following describes the transformations that occurred from y = x² to obtain the graph of y = 2x² + 4?

• narrower by 2 and translation up 4
• wider by 2 and translation up 4
• narrower by 2 and translation left 4
• wider by 2 and translation right 4

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

What is the equation of this graph? HINT: Find the vertex of the graph or put your choices in your calculator.

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

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)

Tags

CCSS.HSF.BF.B.3