Which of the following is a point on the graph as described by the function y=(2x+1)2−4 ?(1 point)
Responses
(0,−2)
left parenthesis 0 comma negative 2 right parenthesis
(−1,−5)
left parenthesis negative 1 comma negative 5 right parenthesis
(−1,−3)
left parenthesis negative 1 comma negative 3 right parenthesis
(1,2)
To find the point on the graph as described by the function y = (2x+1)^2 - 4, we substitute the given x-coordinate into the equation to determine the corresponding y-coordinate.
1) For x = 0:
y = (2(0)+1)^2 - 4
y = (1)^2 - 4
y = 1 - 4
y = -3
So the point (0, -3) is on the graph.
2) For x = -1:
y = (2(-1)+1)^2 - 4
y = (-2+1)^2 - 4
y = (-1)^2 - 4
y = 1 - 4
y = -3
So the point (-1, -3) is on the graph.
3) For x = 1:
y = (2(1)+1)^2 - 4
y = (2+1)^2 - 4
y = (3)^2 - 4
y = 9 - 4
y = 5
So the point (1, 5) is on the graph.
Therefore, the correct answer is (1, 2).