Question

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 (0,−2) left parenthesis 0 comma negative 2 right parenthesis (−1,−5) left parenthesis negative 1 comma negative 5 right parenthesis (1,2)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the points on the graph of the function, we can substitute the x-values into the equation and calculate the corresponding y-values.

1. For (−1,−3):
y = (2(-1)+1)^2 - 4
= ( -2 + 1 )^2 - 4
= ( -1 )^2 - 4
= 1 - 4
= -3 ≠ -3 (not a correct point)

2. For (0,−2):
y = (2(0)+1)^2 - 4
= (0+1)^2 - 4
= 1^2 - 4
= 1 - 4
= -3 ≠ -2 (not a correct point)

3. For (−1,−5):
y = (2(-1)+1)^2 - 4
= (-2+1)^2 - 4
= (-1)^2 - 4
= 1 - 4
= -3 ≠ -5 (not a correct point)

4. For (1,2):
y = (2(1)+1)^2 - 4
= (2+1)^2 - 4
= 3^2 - 4
= 9 - 4
= 5 = 2 (correct point)

Therefore, the correct point on the graph is (1, 2).