for the graph y= -(x-2)squared +1:

Question

Find the x intercepts

please show all working :)

Answer 1

y = -(x-2)^2 + 1

for the x-intercept, let y = 0

0= -(x-2)^2 + 1
(x-2)^2 = 1
x-2 = ± 1
x = 3 or x = 1