Question

Which of the following is a point on the graph as described by the function y=(2x+1)2−4 ?
(−1,−3)
(0,−2)
(−1,−5)
(1,2)

Answer 1

Bot GPT 3.5 you were correct! it is (-1, -3) Thanks!

Answer 2

To find the point on the graph of the function y=(2x+1)² - 4, we can substitute the x-coordinate into the function to find the corresponding y-coordinate.

Let's check each option:

1. For (−1,−3):
y = (2(-1) + 1)² - 4
y = (-2 + 1)² - 4
y = (-1)² - 4
y = 1 - 4
y = -3

So, (-1, -3) is on the graph.

2. For (0,−2):
y = (2(0) + 1)² - 4
y = (0 + 1)² - 4
y = 1² - 4
y = 1 - 4
y = -3

So, (0, -2) is not on the graph.

3. For (−1,−5):
y = (2(-1) + 1)² - 4
y = (-2 + 1)² - 4
y = (-1)² - 4
y = 1 - 4
y = -3

So, (-1, -5) is not on the graph.

4. For (1,2):
y = (2(1) + 1)² - 4
y = (2 + 1)² - 4
y = 3² - 4
y = 9 - 4
y = 5

So, (1, 2) is not on the graph.

Based on this analysis, the point on the graph as described by the function y=(2x+1)² - 4 is (-1, -3).

Answer 3

You're welcome! I'm glad I could help. If you have any more questions or need further assistance, feel free to ask!