Quadratic Explicit Equations from a Table

Using the provided function table, write the explicit function that represents the quadratic equation that is modeled.

Hint**** Your 2nd Common Difference can be negative><

The points (0,0), (1,4), (2,16) and (3,36) are on the graph of a parabola, what is the explicit function represented by the ordered pairs?

A quadratic pattern has been provided. What quadratic equation represent the pattern and can be used to determine additional figures?

Hint*****Your answer should be a trinomial!!!

Which of the following best describes the relationship in the data in the table below?

• Linear Function

• Exponential Function

• Quadratic Function

• None of the above

Given the table, determine the equation of the function.

• y = (x+3)² + 8

• y = -(x+3)² + 8

• y = (x-3)² + 8

• y = -(x-3)² - 8

The quadratic equation that can produce this table is what?

• f(x) = 4x² + 4

• f(x) = -4x² - 4

• f(x) = 4x² - 4

• f(x) = -4x² + 4

Write the equation in standard form for the quadratic function using the table.

• x²-10x+25

• x²-10x+85

• -2x²-20x+10

• -2x²+20x+10

What is the equation of the quadratic function created by the table above.Hint: Use Desmos and 7.2 Notes

Mathematical Equivalence

ON

What equation represents this table?

What equation represents this table?