To find the points on the graph of the function y=(2x+1)²-4, we can substitute the x-values given in each option and see if they satisfy the equation.
Substituting x = 1 into the equation:
y = (2(1)+1)²-4
y = (2+1)²-4
y = 3²-4
y = 9-4
y = 5
The point (1,2) is not on the graph of the function.
Substituting x = -1 into the equation:
y = (2(-1)+1)²-4
y = (-2+1)²-4
y = (-1)²-4
y = 1-4
y = -3
The point (-1,-3) is on the graph of the function.
Substituting x = 0 into the equation:
y = (2(0)+1)²-4
y = (0+1)²-4
y = 1²-4
y = 1-4
y = -3
The point (0,-2) is not on the graph of the function.
Therefore, the correct option is (-1,-3).
Which of the following is a point on the graph as described by the function y=(2x+1)2−4 ?(1 point) (1,2). (-1,-5). (0,-2). (-1,-3)
1 answer