Answer:
a = 1
h = 3
k = -4
Step-by-step explanation:
To convert this standard form equation to vertex form, use complete the square.
f(x) = x² - 6x + 5
f(x) = (x² - 6x) + 5 <=group ax² and bx, factor out if needed, not in this case.
add and subtract (middle term/2)²
f(x) = (x² - 6x + (6/2)² - (6/2)²) + 5 <=adding and subtracting the same number is like adding 0
f(x) = (x² - 6x + 9 - 9) + 5 <=simplify
f(x) = (x² - 6x + 9) -9 + 5 <=take out the negative constant
f(x) = (x - 3)² - 4 <=perfect square rule in brackets, simplify outside
a = 1 <= Nothing needed to be factored out from ax² and bx.
h = 3 <=If anyone says h = -3, they are wrong. the negative is already in the general equation which says "x-h". It does not say "x+h".
k = -4
