Question

Pls help meeeeeeeeeeeeeee its urgent

Which function is equivalent to f(x)=4x2−12x+9?

Question 6 options:

(4x−3)(x−3)

(4x+3)(x+3)

(2x+3)2

(2x−3)2

Answer 1

`\\ \tt\hookrightarrow f(x)=4x^2-12x+9`

• Factorise

`\\ \tt\hookrightarrow f(x)=2x^2-2(2x)(3)+3^2`

`\\ \tt\hookrightarrow f(x)=(2x-3)^2`

Answer 2

• D. f(x) = (2x - 3)²

Explanation:

Given function:

• f(x) = 4x² - 12x + 9

Use identity:

• (a ± b)² = a² ± 2ab + b²

We can see:

• a = 2x and b = 3

Apply:

• f(x) = (2x - 3)²

Correct choice is D