Which of the following is a point on the graph is described by the function y = 2x + 1 ^ 2- 4 a 1, 2 b0, -2 C -1, -5 d-1, -3

1 answer

To determine which point on the graph is described by the function y = 2x + 1^2 - 4, we can plug in the x-values given in the answer choices and find the corresponding y-values.

a) If x = 1:
y = 2(1) + 1^2 - 4
y = 2 + 1 - 4
y = -1
So, the point (1, -1) is on the graph.

b) If x = 0:
y = 2(0) + 1^2 - 4
y = 0 + 1 - 4
y = -3
So, the point (0, -3) is on the graph.

c) If x = -1:
y = 2(-1) + 1^2 - 4
y = -2 + 1 - 4
y = -5
So, the point (-1, -5) is on the graph.

d) If x = -1:
y = 2(-1) + 1^2 - 4
y = -2 + 1 - 4
y = -5
So, the point (-1, -5) is on the graph.

Therefore, the correct answer is:
c) -1, -5
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