Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have

g(x) = k • f(x) = kx² = (√k x)²

The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means

g(1) = (√k • 1)² = 4

and it follows that k = 4. So g(x) = 4x² = (2x)² and **B** is the correct choice.

One is 7 and the other is 8 because 7 squared is 49 and 8 squared is 64.

**Answer: OPTION C.**

**Step-by-step explanation:**

** **Given the following expression:

You can simplify this expression applying these steps:

First step: You must apply Distributive property:

Second step: You need to add the like terms.

Then, you get:

You can observe that this simplified expression matches with the expression provided in Option C.

Area of the front and back faces = 2 [ (8.1 x 8.1) + (1/2 x 8.1 x 2.1 ] = 148.23 in²

Area of the right and left faces = 2 [ 11.8 x 8.1 ] = 191.16 in²

Area of the top = 2 [4.6 x 11.8] = 108.56 in²

Total Area = 148.23 in² + 191.16 in² + 108.56 in² = 447.95 in²

**Answer: Theo will need to paint about 447.95 in².**

**Answer:**

D.

**Step-by-step explanation:**

If you follow the pattern, four boxes should use 21 toothpicks.