Question

What are the x– and y–intercepts of the quadratic equation y = (x – 1)2 – 16? Identify the x–intercepts by graphing the quadratic equation.

Answer 1

plug x = 0, u get y intercept
plug y = 0, u get x intercept

Answer 2

y = (x – 1)2 – 16
y = (0 – 1)2 – 16
y = (– 1)2 – 16
y = 1 – 16 = -15
(0,-15)

y = (x – 1)2 – 16
0 = x2 - 2x +1 - 16
0 = x2 - 2x -15
0=(x - 5)(x + 3)
(5,0) (-3,0)