Quadratic Equation from Pattern

K represents the number of small squares in the pattern as a function of n, the step number. Which expression could define K?

• n² - n

• n² + n

• n² + 1

• n² - 1

Tags

A.FGR.7.6

The pattern in the image models a quadratic relationship. Write an equation to show the relationship between the stage number, x, and the number of squares.

Tags

A.FGR.7.6

The pattern in the image models a quadratic relationship. Write an equation to show the relationship between the stage number, x, and the number of squares.

Tags

A.FGR.7.6

What's the quadratic equation for this table

Tags

A.FGR.7.6

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

S represents the number of small squares in the pattern as a function of n, the step number. Which expression could define S?

• 2n

• 2n + 2

• n² + n

• n² + 2n

Tags

A.FGR.7.6

The pattern in the image models a quadratic relationship. Write an equation to show the relationship between the stage number, x, and the number of squares.

Tags

A.FGR.7.6

The cloud pattern shown has a quadratic relationship. Write a rule to define the number of clouds at the xth stage. There can be a negative number of clouds.

• 2x²+16

• -2x²+20

• 2x²+20

• -2x²+16

Tags

A.FGR.7.6

The number of clouds represented in the visual represents a quadratic relationship. Write a function to define the number of clouds at Stage x.

• f(x) = 3x²

• f(x) = -3x²

• f(x) = 2x² + 1

• f(x) = -3x² + 6

Tags

A.FGR.7.6