The standard form of the equation of a parabola is y= x2 - 6x + 14.
What is the vertex form of the equation?
O A. y=(x-3)2 + 23
O B. y=(x-3)2 + 15
O C. y=(x-3)2 + 5
O D. y= (x+3)(x - 3) + 5
SUBMIT

Solution:

The vertex form of equation is given as:

Where, (h, k) is the vertex

Given that,

We have to find the vertex form of equation

Step 1:

Complete the square for

a = 1

b = -6

c = 14

Consider the vertex form of a parabola.

Substitute the values of  a and b into following:

Find the value of "e" using following formula:

Substitute the values of a, d, e in eqn 1

Thus vertex form form is found. Option C is correct