Question

Write an equation for the parabola to predict the area of the rectangle when the length is 2 feet

a) A=2w 2−4w+4
b) A=−w 2+4w+4
c) A=4w2 −8w+4
d) A=w 2+4w+4

Answer 1

The equation for the parabola to predict the area of the rectangle when the length is 2 feet is A = -w^2 + 4w + 4.

Step-by-step explanation:

The correct equation for the parabola to predict the area of the rectangle when the length is 2 feet is:

A = -w^2 + 4w + 4

Let's break down the equation:

-w^2 represents the negative value of the width squared.

4w represents four times the width.

4 is a constant term that accounts for the area of the rectangle when the width is 0.

Therefore, the correct answer is option (b) A = -w^2 + 4w + 4.