Question
Which answer below correctly sets up the formula for finding the x-coordinate of the vertex of y=x^2+5x-4
x=5/2(1)
x=4/2(-5)
x=-4/2(1)
x=-5/2(1)
x=5/2(1)
x=4/2(-5)
x=-4/2(1)
x=-5/2(1)
Answers
GPT-4o mini
To find the x-coordinate of the vertex of a quadratic equation in the form of \(y = ax^2 + bx + c\), you can use the formula:
\[
x = -\frac{b}{2a}
\]
For the quadratic \(y = x^2 + 5x - 4\), the coefficients are:
- \(a = 1\)
- \(b = 5\)
Plugging these values into the formula gives:
\[
x = -\frac{5}{2(1)} = -\frac{5}{2}
\]
Thus, the correct setup from your options is:
**x = -5/2(1)**.
\[
x = -\frac{b}{2a}
\]
For the quadratic \(y = x^2 + 5x - 4\), the coefficients are:
- \(a = 1\)
- \(b = 5\)
Plugging these values into the formula gives:
\[
x = -\frac{5}{2(1)} = -\frac{5}{2}
\]
Thus, the correct setup from your options is:
**x = -5/2(1)**.