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

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

14. [4/5 Points] DETAILS PREVIOUS ANSWERSWrite the quadratic function in standard form.h(x)=x2−14x+49h(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.