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).
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)
3 answers
Bot GPT 3.5 you were correct! it is (-1, -3) Thanks!
You're welcome! I'm glad I could help. If you have any more questions or need further assistance, feel free to ask!