Given the following linear function, which represents the correct way to type the equation into DESMOS?
Understand the Problem
The question is asking to identify the correct way to input a given linear function into the DESMOS graphing calculator. This involves understanding how the function is presented and finding a correctly formatted equation from the given options.
Answer
The correct inputs for DESMOS are \( y = x + 1 + 2 \) and \( y = (x + 1) + 2 \).
Answer for screen readers
The correct way to input the equation into DESMOS is either:
$$ y = x + 1 + 2 $$
or
$$ y = (x + 1) + 2 $$
Steps to Solve
- Identify the Original Equation
We start with the equation given in the problem:
$$ y - 2 = (x + 1) $$
- Isolate ( y )
To find the correct function input for DESMOS, we need to isolate ( y ). This means adding 2 to both sides of the equation:
$$ y = (x + 1) + 2 $$
- Simplify the Equation
Now, let's simplify the right side:
$$ y = x + 1 + 2 $$ $$ y = x + 3 $$
- Match with Given Options
We need to compare with the options provided to see which one is equivalent to ( y = x + 3 ).
- Option 1: ( y = (x + 1) - 2 ) simplifies to ( y = x - 1 ).
- Option 2: ( y = x + 1 + 2 ), simplifies to ( y = x + 3 ).
- Option 3: ( y = -(x + 1) + 2 ), simplifies to ( y = -x + 1 ).
- Option 4: ( y = (x + 1) + 2 ), simplifies to ( y = x + 3 ).
The correct format in DESMOS is option 2 and option 4 depict the same linear function ( y = x + 3 ).
The correct way to input the equation into DESMOS is either:
$$ y = x + 1 + 2 $$
or
$$ y = (x + 1) + 2 $$
More Information
Both options lead to the same output ( y = x + 3 ). In DESMOS, it is important to enter the equations correctly to visualize the graph accurately.
Tips
- Algebraic Manipulation Errors: Failing to simplify properly when combining like terms can lead to incorrect equations.
- Incorrectly Reading Options: It's important to carefully evaluate all options before selecting the correct one.
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