Question

Please help

the ordered pairs (0,-1),(1,0),(2,3),(3,8),(4,15) represents the function


Write an equation that represents the function. y =?
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Answer 1

y = x² - 1

Explanation:

y = -1 for x = 0 {point(0, -1)} means -1 at the end of formula

If we add 1 to y-coordinate of every given point we get the squares of x-coordinate:

(1, 0): 1² - 1 = 0

(2, 3): 2² - 1 = 4 - 1 = 3

(3, 8): 3² - 1 = 9 - 1 = 8

(4, 15): 4² - 1 = 16 - 1 = 15

So for any x:

(x, y) y = x² - 1