Put the equation that is in general form: y = x² + 22x + 112 into standard form: y = (x - h)² + k: Answer: y =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Question 4

Put the equation that is in general form: \( y = x^2 + 22x + 112 \)

into standard form: \( y = (x - h)^2 + k \):

**Answer:** \( y = \underline{\hspace{3cm}} \)

---

In this question, students are asked to convert a quadratic equation from its general form (\( y = ax^2 + bx + c \)) to its standard form (\( y = (x - h)^2 + k \)). 

To do this, they must complete the square:

1. Take the given equation: \( y = x^2 + 22x + 112 \).
2. Complete the square to convert it into the standard form.

No graphs or diagrams are present in this image.
Transcribed Image Text:### Question 4 Put the equation that is in general form: \( y = x^2 + 22x + 112 \) into standard form: \( y = (x - h)^2 + k \): **Answer:** \( y = \underline{\hspace{3cm}} \) --- In this question, students are asked to convert a quadratic equation from its general form (\( y = ax^2 + bx + c \)) to its standard form (\( y = (x - h)^2 + k \)). To do this, they must complete the square: 1. Take the given equation: \( y = x^2 + 22x + 112 \). 2. Complete the square to convert it into the standard form. No graphs or diagrams are present in this image.
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