Find the equation x = at² + b that fits the following data. A) x = 4t² + 16 B) x = 2t² - 16 C) x = 4t² - 16 D) x = 2t² + 16

Question

Quizplus · Accepted Answer

To solve for the equation that fits the data, we need to use the formula x = at² + b. To find the values of a and b, we need to substitute two of the given datapoints into the equation and solve for a and b simultaneously.

Using the first datapoint (t=0, x=-16), we get:
-16 = a(0)² + b
-16 = b

Using the third datapoint (t=2, x=0), we get:
0 = a(2)² -16
a(2)² = 16
a = 4

Therefore, the equation that fits the data is:
x = 4t² - 16

Find the Equation X = At2 + B That Fits

Find the Equation X = At² + B That Fits