Quadratic Function Patterns

What is the equation of the blue squares per design?

• 4n

• n^2

• (n-1)^2

• (n+1)^2

What is the equation of the total squares per design?

• 4n

• n^2

• (n-1)^2

• (n+1)^2

Identify the relationship represented.

• Linear

• Quadratic

• Exponential

• None

Identify the relationship

2, 4, 7, 11, 16, 22,...

• Quadratic

• Linear

• Exponential

How should this function be classified?

• Linear

• Quadratic

• Exponential

• None of the above

Write an equation to model the quadratic function in the table.

• y = x² + 3x + 5

• y = 2x² + 4

• y = 2x² + 5

• y = x² + 5

The pattern in the image represents a quadratic relationship. Write a rule to find the nth stage of this quadratic function.

• f(n) = 3n²

• f(n) = n² + 2

• f(n) = n² + n

• f(n) = 2n² + 1

The patterns in the image represent a quadratic relationship. Write a rule to find the number of hexagons there will be at the n^th pattern.

• y = 3n² - 3n + 1

• y = n² + 3n - 3

• y = 3n² - 4n + 1

• y = n² - n + 1

The squares in the accompanying image grow in a quadratic pattern. Write a rule to determine the number of squares there will be at the x^th step (the color of the squares doesn't matter).

• y = x² + 3x

• y = x² + 1

• y = (x + 1)²

• y = x² - 1

Which function describes the number of squares there will be at the n^th figure?

• f(n) = 2n² - 4n - 2

• f(n) = 2n² + 2n + 4

• f(n) = 2n² - 4n + 2

• f(n) = 2n² + 4n + 2