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.

Answer

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Answer

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

Steps

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: \(\boxed{h(x) = (x - 7)^2}\)

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

Answer

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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.