Quadratic Function Patterns

Write the equation of the function modeled in the table.

• f(x) = x² - 2x + 5

• f(x) = x² + 3x + 5

• f(x) = x² + 2x + 5

• f(x) = x² - 3x + 5

If the squares in the accompanying image continue to grow at the same rate, how many squares will there be at figure 6?

• 98

• 104

• 128

• 72

Tags

CCSS.HSF.BF.A.2

What is the equation of the quadratic function in the graph?

• y = (x-2)² -3

• y = x² - 4x +1

• y = x² + 4x +1

• y = x² - 2x - 3

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

What's the quadratic equation for this table

Tags

A.FGR.7.6

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 ___________ __________ works for all quadratics, ______ doesn't.

• Hokie Pokie; turning around

• Sum of all Real Numbers; factoring

• Quadratic Formula; factoring

• Factoring; Quadratic Formula

Tags

CCSS.HSA-REI.B.4B

What do you need on one side of a quadratic before using the Quadratic Formula or Factoring?

• A perfect square

• A zero on one side

Tags

CCSS.HSA-REI.B.4B