graph of quadratic function

2009-10-29 9:27 am
The y-intercept of the graph of y = [ (x-m)^2 ] - 1 is 3 and m is a constant.

(a) Find the values of m.

(b) If m > 0, find the x - intercepts of the graph.

回答 (1)

2009-10-29 2:58 pm
✔ 最佳答案
y = (x - m)^2 - 1
(a) when x = 0, y = 3
(0 - m)^2 - 1 = 3
m^2 - 4 = 0
(m - 2)(m + 2) = 0
m = 2 or m = -2
(b) if m > 0, then m = 2
y = (x - 2)^2 - 1
when y = 0
(x - 2)^2 - 1^2 = 0
(x - 1)(x - 3) = 0
x = 1 or x = 3
The x-intercepts are 1 and 3


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