Question

What are the x– and y–intercepts of the quadratic equation y = (x – 3)2 – 25? Identify the x–intercepts by graphing the quadratic equation.
Answer
a.x–intercepts: (2, 0) and (–8, 0)
y–intercept: (0, –16)

b.x–intercepts: (–2, 0) and (8, 0)
y–intercept: (0, –16)

c.x–intercepts: (–2, 0) and (8, 0)
y–intercept: (0, –25)

d.x–intercepts: (2, 0) and (–8, 0)
y–intercept: (0, –25)

Answer 1

First I would identify the y-int.
Let x=0
y = (0 – 3)^2 – 25
y = 9-25
y = -16
so the y-int is (0, -16)

Answer 2

Let y = 0 for the x-intercepts
0 = (x – 3)^2 – 25
25 = (x - 3)^2
5 = x - 3 AND -5 = x - 3
x = 8 and x = -2

The answer is b