Answer:

y= 1(x-3)^2 - 4

Step-by-step explanation:

The standard form of a quadratic equation is

y = ax^2 + bx + c

If you multiply the binomials (x-5)(x-1) using FOIL rules, you should get

y = x^2 - 6x + 5. This is the standard form.

The vertex form of a quadratic equation can be written as  

y= a(x-h)^2 + k

h is the axis of symmetry and can be calculated by -b/2a

and we get h=-(-6)/2*1 = 3 (remember that we know a=1 and b=-6)

And k represents the value of the function when x=h

so plug in 3 for x and find the value of the function

y = x^2 - 6x + 5

= 3^2 - 6*3 + 5

= -4 (this is k)

now we know h and k, so the vertex form can be written as

y= 1(x-3)^2 - 4

Answer:

x²-4x-5

Step-by-step explanation:

x² - 5x + x - 5

x² - 4x-5

Hope it helpssss