quadratic functions, vertex form

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Tags

CCSS.HSF-IF.C.7A

A parabola has a vertex at (-3,2). What is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

Which quadratic function is represented by the graph?

• 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

Which quadratic function is represented by the graph?

• y = (x - 2)² + 2

• y = (x + 2)² + 2

• y = (x - 2)² - 2

• y = -(x - 2)² + 2

Tags

CCSS.HSF-IF.C.7A

Which equation best represents 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 direction and how many units does this function shift?

f(x) = 2(x+4)²

• shifts 2 units up

• shifts 2 units to the left

• shifts 4 units to the right

• shifts 4 units to the left

Answer explanation

remember that the h changes signs.

• 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

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

Find the range of the function  
y = -2(x + 4)^2 + 7

• (-∞, -4]

• (-∞, 7]

• [7, ∞)

• [-4, ∞)

Change in the position, size, or shape of a parent graph

• Translation

• Transformation

• Vertex

• Reflection