Question

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

Answer 1

I assume you mean y = (2x + 1)^2 − 4. You didn’t give the answer choices, so here’s how to check and a few points on the graph:

Method: for any candidate point (a,b), substitute x = a into y = (2x + 1)^2 − 4 and see if the result equals b.

Some points on the graph:
- Vertex: x = −1/2 → y = (2(−1/2)+1)^2 − 4 = 0^2 − 4 = −4, so (−1/2, −4).
- x = 0 → y = (1)^2 − 4 = −3, so (0, −3).
- x = 1 → y = (3)^2 − 4 = 5, so (1, 5).
- x = −1 → y = (−1)^2 − 4 = −3, so (−1, −3).
- x = −3/2 → y = (−2)^2 − 4 = 0, so (−3/2, 0).

If you paste the choices, I’ll tell you which one is on the graph.

Answer 2

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