Which of the following is a point on the graph as described by the function y=(2x+1) to the power of 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, substitute the values of x and y into the equation and check if they satisfy the equation.
Let's check each option:
For option (0, -2):
y = (2x+1)^2 - 4
-2 = (2(0)+1)^2 - 4
-2 = (1)^2 - 4
-2 = 1 - 4
-2 = -3 (not true)
For option (-1, -5):
y = (2x+1)^2 - 4
-5 = (2(-1)+1)^2 - 4
-5 = (0)^2 - 4
-5 = 0 - 4
-5 = -4 (not true)
For option (-1, -3):
y = (2x+1)^2 - 4
-3 = (2(-1)+1)^2 - 4
-3 = (0)^2 - 4
-3 = 0 - 4
-3 = -4 (not true)
For option (1, 2):
y = (2x+1)^2 - 4
2 = (2(1)+1)^2 - 4
2 = (3)^2 - 4
2 = 9 - 4
2 = 5 (not true)
None of the given options satisfy the equation y = (2x+1)^2 - 4, so there is no point on the graph described by the function.