Standard form of a quadratic function

Identify the vertex of the following parabola.

y = x² − 4x + 1

• (2,-3)

• (1/3, 4)

• (-2, 3)

• (-2,13)

Identify the maximum or minimum value of the following quadratic function.

y = 3x² + 18x + 32

• Maximum value is y = 5

• Maximum value is y = 32

• Minimum value is y=5

• Minimum value is y = -3

Which function has the graph shown above?

• 
• y = -3x² – 4x + 8

• 
• y = .5x² – 3x + 3

Which function has the graph shown above?

• 
• y = -3x² – 4x + 8

• 
• y = .5x² – 3x + 3

Identify the range of the given parabola.

y = −x² − 6x − 10

• y ≥ -1

• all real numbers

• y ≤ -1

• y > -1.5

Identify the axis of symmetry of the given parabola.

y = x² − 4x + 1

• x = 3

• x = -3

• x = -2

• x = 2

What is the vertex of the following quadratic function?

y = (x-2)² + 4

• Vertex (2,4)

• Vertex (3, -8)

• Vertex (-2, 4)

• Vertex (-4, -10)

Without graphing state whether the following quadratic function opens upward or downward?

y = -3x² + 2x - 4

• Upward

• Downward

Write the following parabola in vertex form.

y = 3x² + 18x + 32

y = a(x-h)² + k where (h,k) is the vertex.

• y = 3(x+3)² + 5

• y = 18(x - 3)² + 0

• y = (x+3)² + 5

• y = -3(x+18)² - 5

Does this graph have a maximum or minimum value?

• maximum
• minimum
• neither
• both