Question

Which equation has this graph?
y = x2 - 6x + 5
y = -x2 - 6x + 5
y = -x2 - 6x - 5
y = x2 + 6x - 5

Answer 1

its the first one

graph intersects the x axis at the following coordinates

x=1 and x=5

so put y=0 to find x intercept

0=x2-6x+5

factorize

0=x2-5x-x+5

0=x(x-5)-1(x-5)

(x-1)(x-5)=0

x=1 and x=5

:D

Answer 2

following two points would be appropriate i should have written 1,0 and 5,0 for coordinates :)