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what is the axis of symmetry for this quadratic function? f(x) = 4x^2 +…

Question

what is the axis of symmetry for this quadratic function? f(x) = 4x^2 + 7x + 6 x = _?

Explanation:

Step1: Identify a and b in standard form

For \( f(x)=ax^2+bx+c \), \( a=4 \), \( b=7 \)

Step2: Apply axis of symmetry formula

\( x=-\frac{b}{2a}=-\frac{7}{2\times4} \)

Step3: Simplify the expression

\( x=-\frac{7}{8} \)

Answer:

\( x = -\frac{7}{8} \)