Problem

14. [4/5 Points] DETAILS PREVIOUS ANSWERS Write the quadratic function in standard form. \[ h(x)=x^{2}-14 x+49 \] \[ h(x)= \] Sketch its graph.

Solution

Step 1 :The standard form of a quadratic function is \(h(x) = a(x-h)^2 + k\), where (h, k) is the vertex of the parabola. To convert the given function into standard form, we need to complete the square.

Step 2 :The standard form of the given quadratic function is \(h(x) = (x - 7)^2\).

Step 3 :The graph of the function is a parabola that opens upwards with its vertex at (7, 0).

Step 4 :Final Answer: \(\boxed{h(x) = (x - 7)^2}\)

From Solvely APP
Source: https://solvelyapp.com/problems/45782/

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