Quadratic Transformations and Vertex Form

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4

• y = (x+3)² - 4

• y = (x-3)² + 4

• y = 2(x - 3)² + 4

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

What is the axis of symmetry in the function f(x) = (x-1)² +2

• x = 1

• x = -1

• x = 2

• x = -2

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

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

• -2

• -6

• 2

• 6

• 0

Abigail is designing a garden and wants to create a blueprint. If the blue graph represents the area of a square garden as
f(x) = x² 
then the red graph must represent the area of a garden with a different feature. What is the equation for the red graph?

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

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

• 3

• -9

• 0

• -3

• 9

• 5

• -2

• -5

• 2

• 0