Larrydakidd
Answered

How many zero pairs must be added to the function f(x) = x2 – 10x – 4 in order to begin writing the function in vertex form?


4

10

21

25

Verified Answer :

Here, f(x) = x² - 10x - 4
f(x) + 4 = x² - 10x

Now, half of coefficient of x, -10x/2 = -5x

-5² = 25
We can also solve it further (in case you need):

Then,f(x) + 4 + 25 = (x² - 10x + 25)
f(x) + 29 = (x - 5)²
f(x) = (x - 5)² - 29

In short, Your Answer would be Option D) 25

Hope this helps!

Cetacea

25 must be added to the function in order to begin writing the function in vertex form.

The given function is: \(f(x) = x^2 - 10x - 4\).

Compare this with \(f(x)=ax^2+bx+c\).

So, a = 1, b = -10, c = -4.

In order to get the vertex form, we must add and subtract \(\left(\frac{b}{2}\right)^{2}=\left(\frac{-10}{2}\right)^{2}=\left(-5\right)^{2}=25\).

It means 25 must be added to the function in order to begin writing the function in vertex form.

Learn more: https://brainly.com/question/10868115

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