How many zero pairs must be added to the functionf(x) = x2 – 10x – 4 in order to begin writing the function in vertex form?
a.4b.10c.21d.25

Option d. 25

Step-by-step explanation:

Vertex form a quadratic equation is written in the form of f(x) = (x - h)² + k

where (h, k) is said to be the vertex of the equation.

Now we will try to convert the given quadratic function in the vertex form by adding zero pairs in the equation.

f(x) = x² - 10x - 4

     = x² - 10x - 4 + (25 - 25) [Since (x² - 2.(5x) + 25) = (x - 5)² so we have added a zero pair 25]

     = (x - 5)² - 4 - 25

     = (x - 5)² - 29

     = (x - 5)² + (-29)

Therefore, 25 is the zero pair that must be added to the given function to convert it in the vertex form

Option d. 25 is the answer.

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.

i may be incorrect but i believe that her first error was in step one when she multiplyed her equation by 1/4 when she should have divided it by 1/4