What is the vertex of the function f (x) = x2 - 10x?
(5,-25)
(5.-75)
(-5,75)
(-5,25)

Option A

The vertex is (h, k) = (5, -25)

Solution:

Given function is:

The vertex form is given as:

Rewrite the equation in vertex form

Complete the square for  

Use the form to find the values of  a, b, c

a = 1 , b = -10, c = 0

Consider the vertex form of a parabola

Substitute the values of a and b into the following formula to find "d" :

Find the value of "e" using the formula,

Substitute the value of a, d, e into vertex form

Set y equal to above equation

Compare the above equation with vertex form

We find, h = 5 and k = -25

Thus the vertex is (h, k) = (5, -25)

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step-by-step explanation: