Fill in the Blank 4 points Given the equation to the right, f(x)=2x^2+8x+3 a) What is the vertex? ( square square 2 4 :-2 :-5 &3 i maximum if minimum

To find the vertex of the quadratic function \( f(x) = 2x^2 + 8x + 3 \), we can use the vertex formula for a parabola given by . The x-coordinate of the vertex is found using the formula: In this equation, and .Substitute these values into the formula: Now, substitute back into the original equation to find the y-coordinate of the vertex: Therefore, the vertex of the parabola is \((-2, -5)\).Since the coefficient of (which is 2) is positive, the parabola opens upwards, indicating that the vertex is a minimum point.So, the answers are:a) The vertex is \((-2, -5)\).b) The vertex is a minimum.