Which of the following is a point on the graph as described by the function y = (2x + 1)^2 - 4
To find the points on the graph, we can substitute different values of x into the equation y = (2x + 1)^2 - 4 and evaluate y.
Let's substitute x = 0:
y = (2(0) + 1)^2 - 4
y = (1)^2 - 4
y = 1 - 4
y = -3
Therefore, the point (0, -3) is on the graph.
Now, let's substitute x = 1:
y = (2(1) + 1)^2 - 4
y = (2 + 1)^2 - 4
y = (3)^2 - 4
y = 9 - 4
y = 5
Therefore, the point (1, 5) is on the graph.
Similarly, we can substitute different values of x to find more points on the graph.
Which answer?
(0, -2)
O (-1,-3)
O (1,2)
O (-1,-5)
The correct answer is (0, -2).
To find a point on the graph of the function y = (2x + 1)^2 - 4, we need to choose a value for x and substitute it into the equation to find the corresponding value for y. Let's select a value for x, for example, x = 0.
Step 1: Substitute x = 0 into the equation.
y = (2(0) + 1)^2 - 4
y = (1)^2 - 4
y = 1 - 4
y = -3
So, when x = 0, y = -3. Therefore, the point (0, -3) is on the graph of the function y = (2x + 1)^2 - 4.
You can choose any other value for x and repeat the process to find more points on the graph.