Question

Which of the following is a point on the graph as described by the function y=(2x+1)2−4
?(1 point)
Responses

(1,2)
left parenthesis 1 comma 2 right parenthesis

(−1,−5)
left parenthesis negative 1 comma negative 5 right parenthesis

(0,−2)
left parenthesis 0 comma negative 2 right parenthesis

(−1,−3)

Answer 1

Plug in each x into y = (2x + 1)^2 − 4.

x = 1: y = (3)^2 − 4 = 9 − 4 = 5 → (1,2) no
x = −1: y = (−1)^2 − 4 = 1 − 4 = −3 → (−1,−3) yes
x = 0: y = (1)^2 − 4 = 1 − 4 = −3 → (0,−2) no

So the point on the graph is (−1, −3).