Y= x^2+ 7x - 5 can be written in the form y = (x + a)^2+b find the value of a and the value of b

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = (x - h)² + k (h, k) are the coordinates of the vertex

Given y = x² + 7x - 5

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )²

y = x² + 2( )x + - - 5

y = (x + )² - -

y = (x + )² -

Hence

a = and b = -