Question

Examine the pattern of numbers in the table , and find a formala for y in terms of x.

Answer 1

Answer:

y = x² + 4

Step-by-step explanation:

Observing the pattern, we can deduce that :

When x = 1, y = 1² + 4 = 5

When x = 2, y = 2² + 4 = 8

When x = 3, y = 3² + 4 = 13

When x = 4, y = 4² + 4 = 20

Therefore, we can generalise the pattern as :

y = x² + 4

Answer 2

Plotting the points could help you notice that they lie along a parabola. In particular, you can see that $y$ is always 4 more than $x^2$.

So, the relation is

$y=x^2+4$