Question

Rewrite the function by completing the square.
h(x)=4x^2-36x+81
h(x)= (x+ )^2+

Answer 1

Function = (2x - 9)²

Explanation:

Now we have to,

→ find function by completing the square.

The function is,

→ h(x) = 4x² - 36x + 81

Let's solve the problem,

→ 4x² - 36x + 81

→ 4x² - 18x - 18x + 81

→ 2x(2x - 9) - 9(2x - 9)

→ (2x - 9) × (2x - 9)

→ (2x - 9)²

Hence, answer is (2x - 9)².

Answer 2

• h(x) = (2x - 9)²

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Given

• Function h(x) = 4x² - 36x + 81

Rewrite it by completing the square

• h(x) =
• 4x² - 36x + 81 =
• (2x)² - 2(2x)(9) + 9² =
• (2x - 9)²