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
(−1,−5)
left parenthesis negative 1 comma negative 5 right parenthesis
(0,−2)
To find the point on the graph of the function y=(2x+1)2−4, we need to substitute the x-coordinate into the equation and solve for the corresponding y-coordinate.
Let's check each option by substituting the x-coordinate into the equation:
For option 1: (x,y) = (−1,−3)
Substituting x = -1 into the equation:
y = (2(-1)+1)^2 - 4
y = (1)^2 - 4
y = 1 - 4
y = -3
For option 2: (x,y) = (1,2)
Substituting x = 1 into the equation:
y = (2(1)+1)^2 - 4
y = (3)^2 - 4
y = 9 - 4
y = 5
For option 3: (x,y) = (−1,−5)
Substituting x = -1 into the equation:
y = (2(-1)+1)^2 - 4
y = (1)^2 - 4
y = 1 - 4
y = -3
For option 4: (x,y) = (0,−2)
Substituting x = 0 into the equation:
y = (2(0)+1)^2 - 4
y = (1)^2 - 4
y = 1 - 4
y = -3
Therefore, none of the given options is a point on the graph of the function y=(2x+1)2−4.