Question

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

Answer 1

0,−2)
left parenthesis 0 comma negative 2 right parenthesis

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

(−1,−3)
left parenthesis negative 1 comma negative 3 right parenthesis

(1,2)
left parenthesis 1 comma 2 right parenthesis

Answer 2

To find the point on the graph described by the function y=(2x+1)^2-4, we need to substitute a value of x into the function to find the corresponding value of y.

Let's choose x=0:

y = (2(0)+1)^2 - 4
y = (1)^2 - 4
y = 1 - 4
y = -3

Therefore, the point on the graph is (0, -3).

Answer 3

To find the point on the graph described by the function y=(2x+1)^2-4, we just need to substitute the x-coordinate into the function to find the corresponding y-coordinate.

Let's go through each option:

1. (0, -2):
y = (2(0)+1)^2 - 4 = (1)^2 - 4 = 1 - 4 = -3
This point does not match the y-coordinate given, so it is not correct.

2. (-1, -5):
y = (2(-1)+1)^2 - 4 = (-1)^2 - 4 = 1 - 4 = -3
This point does not match the y-coordinate given, so it is not correct.

3. (-1, -3):
y = (2(-1)+1)^2 - 4 = (-1)^2 - 4 = 1 - 4 = -3
This point matches the y-coordinate given, so it is correct.

4. (1, 2):
y = (2(1)+1)^2 - 4 = (2)^2 - 4 = 4 - 4 = 0
This point does not match the y-coordinate given, so it is not correct.

Therefore, the correct answer is: (-1, -3).