Q3. Katie is finding the standard fo... [FREE SOLUTION]

Chapter 8: Q3. (page 423)

Katie is finding the standard form of the equation of the parabola $y = x^{2} + 6 x + 4$ . What mistake did she make in her work.

Short Answer

Expert verified

The mistake done is that she did not subtract 9 from the original equation.

Step by step solution

Step 1. Write down the given information.

The given equation is $y = x^{2} + 6 x + 4$ . And the work done to covert this equation to standard form is shown below.

Step 2. Calculation.

Converting the given equation $y = x^{2} + 6 x + 4$ to standard form $y = a {(x - h)}^{2} + k$ .

$\begin{matrix} y = x^{2} + 6 x + 4.... (Given) \\ y = x^{2} + 6 x + 4 + {(3)}^{2} 鈭� {(3)}^{2} .... (Addandsubtract {(3)}^{2}) \\ y = (x^{2} + 6 x + {(3)}^{2}) + (4 鈭� {(3)}^{2}) \\ y = {(x + 3)}^{2} + (鈭� 5) \\ y = {(x + 3)}^{2} 鈭� 5 \end{matrix}$

Step 3. Conclusion.

From the calculation, it is found that she forgot to subtract 9 in the original equation because she added 9 in the original equation. Hence the mistake she made in her work is that she forget to subtract 9 to balance the equation.

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91影视

Katie is finding the standard form of the equation of the parabola $y = x^{2} + 6 x + 4$ . What mistake did she make in her work.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

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91影视

Katie is finding the standard form of the equation of the parabola y=x2+6x+4. What mistake did she make in her work.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Theoretical and Mathematical Physics

Probability and Statistics

Pure Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

Katie is finding the standard form of the equation of the parabola $y = x^{2} + 6 x + 4$ . What mistake did she make in her work.