Which of the following is a point on the graph as described by the function y=(2x+1)2−4
?(1 point)
Responses
(−1,−3)
left parenthesis negative 1 comma negative 3 right parenthesis
(1,2)
left parenthesis 1 comma 2 right parenthesis
(0,−2)
left parenthesis 0 comma negative 2 right parenthesis
(−1,−5)
To find the point on the graph described by the function y=(2x+1)^2-4, we need to substitute the x-coordinate into the equation and solve for the y-coordinate.
If we substitute x = 1 into the equation, we get:
y = (2(1) + 1)^2 - 4
y = (2 + 1)^2 - 4
y = (3)^2 - 4
y = 9 - 4
y = 5
Therefore, the point on the graph is (1, 5).
None of the given options match the calculated point (1, 5), so none of the provided points are on the graph.