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Solve for [tex]\( x \)[/tex]:
[tex]\[ 3x = 6x - 2 \][/tex]

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y RRecomdo
[tex]$
y=x^2+3 x-4
$[/tex]
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Response:
Rewrite the equation:
[tex]\[ y = x^2 + 3x - 4 \][/tex]



Answer :

GinnyAnswer
Let's illustrate the problem and solve it step-by-step. We are asked to find the expression for [tex]\( y \)[/tex] as a function of [tex]\( x \)[/tex]:

[tex]\[ y = x^2 + 3x - 4 \][/tex]

### Step-by-Step Solution:

1. Identify the given equation:
The equation provided is already in the standard quadratic form:

[tex]\[ y = x^2 + 3x - 4 \][/tex]

2. Interpret the quadratic expression:
This is a quadratic equation in terms of [tex]\( x \)[/tex], where the coefficient of [tex]\( x^2 \)[/tex] is 1, the coefficient of [tex]\( x \)[/tex] is 3, and the constant term is -4.

3. Confirm the structure:
The form [tex]\( y = ax^2 + bx + c \)[/tex] is identifiable, where:
- [tex]\( a = 1 \)[/tex]
- [tex]\( b = 3 \)[/tex]
- [tex]\( c = -4 \)[/tex]

4. Solution complete:
No further simplification or transformation is needed since the equation given, [tex]\( y = x^2 + 3x - 4 \)[/tex], is already in its simplest form.

Therefore, the solution based on the given expression for [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex] is:

[tex]\[ y = x^2 + 3x - 4 \][/tex]

This completes our detailed examination and presentation of the quadratic equation provided.

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