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netineya [11]
3 years ago
5

What is the value of h when the function is converted to vertex form?

Mathematics
2 answers:
Umnica [9.8K]3 years ago
7 0

Answer:

The value of h is 7.

Step-by-step explanation:

The given function is

p(x)=x^2-14x+29

where a=1,b=-14,c=29

The h-value of the vertex can be calculated with the formula;

h=-\frac{b}{2a}

We substitute the necessary values to obtain;

h=-\frac{-14}{2(1)}

Simplify to get;

h=7

elena-s [515]3 years ago
4 0

Answer: h=7

Step-by-step explanation:

By definition the function in vertex form is:

 f(x)=a(x-h)^{2}+k

Where (h,k) is the vertex of the parabola.

You must group the terms that contain the same variable in the function:

f(x)=(x^{2}-14x)+29

Complete the square as following:

f(x)=(x^{2}-14x+49)+29-49

Now you must rewrite it as following:

 f(x)=(x-7)^{2}-20

Then:

h=7

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