Question

Can someone help?

Looking at the pattern below, fill in the table of values.
Using the table of values, write a quadratic equation that represents the pattern.

Answer 1

0, 3, 8, 15, 24

y = x² + 2x

Explanation:

The pattern is

Step 1 ⇒ 1*3 = 3

Step 2 ⇒ 2*4 = 8

Step 3 ⇒ 3*5 = 15

Next step would be

Step 4 ⇒ 4*6 = 24

Step zero would be

Step 0 ⇒ 0*2 = 0

The equation

y = x(x + 2) = x² + 2x

Answer 2

• 0, 3, 8, 15, 24
• y = x² + 2x

Explanation:

The pattern is

• Step 1 ⇒ 1*3 = 3
• Step 2 ⇒ 2*4 = 8
• Step 3 ⇒ 3*5 = 15

Next step would be

• Step 4 ⇒ 4*6 = 24

Step zero would be

• Step 0 ⇒ 0*2 = 0

The equation

• y = x(x + 2) = x² + 2x