Q54. Write the equation y=x2+6x+9 in ... [FREE SOLUTION]

Chapter 8: Q54. (page 416)

Write the equation $y = x^{2} + 6 x + 9$ in the form $y = a {(x - h)}^{2} + k$ .

Short Answer

Expert verified

The required form of the equation in $y = a {(x - h)}^{2} + k$ is $y = {(x + 3)}^{2}$ where $a = 1, h = - 3 and k = 0$ .

Step by step solution

Step 1. Write down the given information.

The given equation is $y = x^{2} + 6 x + 9$ .

Step 2. Calculation.

The given equation $y = x^{2} + 6 x + 9$ is converted to $y = a {(x - h)}^{2} + k$ form as:

\begin{matrix} y = x^{2} + 6 x + 9 \\ = {(x)}^{2} + 2 脳 x 脳 3 + {(3)}^{2} \\ = {(x + 3)}^{2} \\ = 1 {(x 鈭� (鈭� 3))}^{2} + (0) \end{matrix}

Here $a = 1, h = - 3 and k = 0$ .

Step 3. Conclusion.

The required form of the given equation is $y = {(x + 3)}^{2}$ where $a = 1, h = - 3 and k = 0$ .

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Write the equation $y = x^{2} + 6 x + 9$ in the form $y = a {(x - h)}^{2} + k$ .

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

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Write the equation y=x2+6x+9 in the form y=ax-h2+k.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Decision Maths

Pure Maths

Mechanics Maths

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Study anywhere. Anytime. Across all devices.

Write the equation $y = x^{2} + 6 x + 9$ in the form $y = a {(x - h)}^{2} + k$ .