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Graph the Function Identify the Axis of Symmetry and the Vertex. F(x)=x^2-4x+7 The Axis of Symmetry Is Square (Type an Equation.)

Problemas

Graph the function Identify the axis of symmetry and the vertex. f(x)=x^2-4x+7 The axis of symmetry is square (Type an equation.)

Roztwór

Daniela professionell · Tutor durante 6 años
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Respuesta

The axis of symmetry is . The vertex is \((2, 3)\).

Explicación

## Step 1The given function is a quadratic function in the form \(f(x) = ax^2 + bx + c\), where , , and .## Step 2The axis of symmetry for a quadratic function is given by the formula .### **The formula for the axis of symmetry is **## Step 3Substitute the values of and into the formula to find the axis of symmetry.## Step 4The vertex of the parabola is the point on the axis of symmetry that is also on the graph of the function. It is given by the point \((-\frac{b}{2a}, f(-\frac{b}{2a}))\).### **The formula for the vertex is \((-\frac{b}{2a}, f(-\frac{b}{2a}))\)**## Step 5Substitute the values of , , and into the formula to find the vertex.