2.2 Quadratic Functions - Algebra 2

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

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

How did we transform from y=x² to
y = -3x²

• reflection in x-axis and vertical shift down
• reflection x-axis and vertical stretch
• horizontal stretch
• reflection x-axis and vertical compression

Does the graph of this equation open up or down?
y = 3/4 (x - 5)² + 12

• up 
• down 

Tags

CCSS.HSF-IF.C.7A

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

• y = -2(x - 3)² + 4
• y = -2(x - 1)² + 4
• y = -2(x - 4)² + 1
• y = -2(x + 4)² + 1

Tags

CCSS.HSF-IF.C.7A

• y = -(x +1)² - 4
• y = -(x +1)² + 4
• y = -(x - 1)² - 4
• y = (x +1)² + 4

Tags

CCSS.HSF-IF.C.7A

List the transformations of the y = x² which produce
y= -2(x - 3)² + 1

• Vertical compression of -2, 3 right, 1 up
• 3 right, vertical stretch of 2, reflection over the x-axis, 1 up
• 3 right, 1 up, reflect over the     x-axis, vertical stretch of 2
• 3 left, vertical stretch of 2, reflect over the y-axis, 1 up

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

Match the equation to its description.

• Vertical Stretched by 2 and translation up 4
•  Vertical Compressed by 2 and translation up 4
• Horizontal Stretched by 2 and translation left 4
• Horizontal Compressed by 2 and translation right 4