
How do you find a vertex by looking at an absolute value equation?
Answer
482.7k+ views
Hint: The general form of an absolute value equation is . The variable tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables and tell us how far the graph shifts horizontally and vertically.
Complete step by step answer:
Absolute value equations are equations where the variable is within an absolute value operator, like . The absolute value of a number depends on the number's sign: if it is positive, it is equal to the number: . If the number is negative, then the absolute value is its opposite: . So when we are dealing with a variable, we need to consider both cases.
In the given equation . x is a variable. Let m be the slope of the equation. slope on the right side of the vertex that is and slope on the left side of the vertex that is \[xAs per the given question, we have to find the vertex of an absolute value equation.
The vertex of an absolute value equation is .
We can find a vertex by looking at the equation that is .
For example, let us take an absolute value equation .
The vertex of the above equation is .
Therefore, we can find vertex of an absolute value equation by looking at it that is for .
Note:
While solving these types of problems, we need to have enough knowledge of absolute value equations and their functions. While finding vertex check whether it is in the form or . Because the vertex changes for that is . We should avoid calculation mistakes to get the correct results.
Complete step by step answer:
Absolute value equations are equations where the variable is within an absolute value operator, like
In the given equation
The vertex of an absolute value equation
We can find a vertex by looking at the equation that is
For example, let us take an absolute value equation
The vertex of the above equation is
Therefore, we can find vertex of an absolute value equation by looking at it that is
Note:
While solving these types of problems, we need to have enough knowledge of absolute value equations and their functions. While finding vertex check whether it is in the form
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 10 biology CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Gautam Buddha was born in the year A581 BC B563 BC class 10 social science CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE

What is the median of the first 10 natural numbers class 10 maths CBSE
