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 x-coordinate into the function to get the corresponding y-coordinate.
Let's consider each of the given options:
1. (0,−2): When x=0, y=(2(0)+1)2−4=(1)2−4=1−4=-3, so this point is NOT on the graph of the function.
2. (−1,−5): When x=-1, y=(2(-1)+1)2−4=(-1)2−4=1−4=-3, so this point is NOT on the graph of the function.
3. (−1,−3): When x=-1, y=(2(-1)+1)2−4=(-1)2−4=1−4=-3, so this point is NOT on the graph of the function.
4. (1,2): When x=1, y=(2(1)+1)2−4=(2)2−4=4−4=0, so this point IS on the graph of the function.
Therefore, the correct answer is (1,2).