Quadratic Explicit Equations from a Table

What is the equation for the function represented by this table?

• f(x) = x³+2x²-4x+3

• f(x) = -6x+4

• f(x) = 6x²-8

• f(x) = 3(4)^x

Tags

CCSS.HSF.LE.A.2

What equation represents this table?

What equation represents this table?

What is the equation for the function represented by this table?

• y = 6x²-4x+3

• y = -6x+4

• y = 6x²-8

• y = 6x²+6x-8

What type of function does this table represent?

• Linear

• Quadratic

• Cubic

• Exponential

The table shown below represents a quadratic function.

A student is determining the quadratic function that represents the data in the table by finding the values of A, B, and C. The student’s work is shown below.

Step 1: The y-intercept is (0, -2), so C = -2.

Step 2: 2A = 6, so A = 3.

Step 3: The finite difference between the y-values for x = 0 and x = 1 is 3, so A + B = 3 and B = 0

Step 4: The equation representing the function is

y = 3x² – 2.

The student’s function is incorrect. In which step did the student first make a mistake?

• Step 1

• Step 2

• Step 3

• Step 4

Use the finite differences and mental math, as appropriate, to determine if the data set shown in the table below represents a linear, exponential, quadratic, or other type of function.

• Linear

• Quadratic

• Cubic

• Exponential

Use finite differences and mental math, as appropriate, to determine of the data set shown in the table below represents a linear, exponential, quadratic, or other type of function.

• Exponential

• Linear

• Quadratic

• Other