Vertex Form of a Quadratic Function

Multiple Choice

Determine the vertex from the following equation: $$-3\left(x-4\right)^2+1$$  

• Vertex: (4,1)

• Vertex: (-4, -1)

• Vertex: (4, -1)

• Vertex: (-4, 1)

Multiple Choice

Determine the vertex from the following equation: $$-\left(x+1\right)^2-1$$  

• Vertex: (1,-1)

• Vertex: (-1, 1)

• Vertex: (-1, -1)

• Vertex: (1, 1)

Multiple Choice

Determine the vertex from the following equation: $$\frac{1}{2}\left(x+4\right)^2+1$$  

• Vertex: (-4, 1)

• Vertex: (-4, -1)

• Vertex: (4, 1)

• Vertex: (4, -1)

Multiple Choice

Determine the y-intercept from the following equation: $$\frac{1}{2}\left(x+4\right)^2+1$$  

• (0, 1)

• (0, 4

• (0, 9)

• (-4, 1)

Multiple Choice

Determine the axis of symmetry from the following equation: $$-\left(x-2\right)^2+4$$  

• x = 2

• x = 4

• x = -2

• x = -1

Multiple Choice

Determine if the parabola has a maximum or minimum, if it opens up (+) then it will have a minimum, if it opens down (-) then it will have a maximum. $$3\left(x+3\right)^2-2$$  

• Maximum

• Minimum

Multiple Choice

Determine if the following equation has a maximum or minimum: $$-\left(x-2\right)^2+7$$  

• Maximum

• Minimum

Multiple Choice

Determine the maximum or minimum value: $$-\left(x-2\right)^2+7$$  

• 2

• 7

• -2

• -7

Multiple Choice

Find the vertex and axis of symmetry of the equation: $$y\ =-3\left(x+4\right)^2+8$$  

• (-3, 4)

  x = -3

• (-4, 8)

  x = -4

• (8, -4)

  x = 8

• (-3, 8)

  x = -3

Multiple Choice

Given: y = 2(x - 5)² + 6, the vertex is

• (2,-5)

• (-5,6)

• (2,6)

• (5,6)

Multiple Choice

The axis of symmetry is a vertical line that passes through which point?

• y-intercept

• any random point

• vertex

• symmetrical point for the vertex

Multiple Choice

What is the green dashed line called?

• roots or x-intercepts

• parabola

• axis of symmetry

• line of dashes

Multiple Choice

The graph of a quadratic function is called a

• Parabola
• Vertex
• Axis of Symmetry 
• Vertex Form

Multiple Choice

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

• y = -2
• x = 3
• x = -3
• y = 2

Multiple Choice

Which of the following equations matches vertex form of a quadratic?

• ax + by = c
• y = a(x - h)² + k
• y = ax² + bx + c
• y = mx + b

Multiple Choice

What is the domain of the function y = (x+5)² + 3?

• All Real Numbers
• x>3
• x<3
• It is impossible to determine.

Multiple Choice

Explain the translation:

y = (x + 9)² + 5

• translated left 9, up 5

• translated left 9, down 5

• translated right 9, up 5

• translated right 9, down 5