which of the following is a point on the graph as described by the function y=(2x+1) 1 to the second power −4 ?(1 point) Responses (1,2) left parenthesis 1 comma 2 right parenthesis (0,−2) left parenthesis 0 comma negative 2 right parenthesis (−1,−3) left parenthesis negative 1 comma negative 3 right parenthesis (−1,−5)
To find the point on the graph, we need to substitute different values of x and evaluate the function y=(2x+1)²-4.
Using option (1,2), substituting x=1, we get:
y=(2(1)+1)²-4
y=(2+1)²-4
y=3²-4
y=9-4
y=5
Since the calculated value of y is 5 and not 2, option (1,2) is not a point on the graph.
Using option (0,−2), substituting x=0, we get:
y=(2(0)+1)²-4
y=(0+1)²-4
y=1²-4
y=1-4
y=-3
Since the calculated value of y is -3, option (0,−2) is not a point on the graph.
Using option (−1,−3), substituting x=-1, we get:
y=(2(-1)+1)²-4
y=(-2+1)²-4
y=(-1)²-4
y=1-4
y=-3
Since the calculated value of y is -3, option (−1,−3) is a point on the graph.
Using option (−1,−5), substituting x=-1, we get:
y=(2(-1)+1)²-4
y=(-2+1)²-4
y=(-1)²-4
y=1-4
y=-3
Since the calculated value of y is -3 and not -5, option (−1,−5) is not a point on the graph.
Therefore, the correct answer is (−1,−3).