Is this the correct graph of y = -
52 + 4? (1 point)
• No. it is not the correct graph because this graph used (0, 3) as the y-intercept.
• Yes. it is the correct graph because this graph has a y-intercept of (0, 4)
O Yes, it is the correct graph because this graph has a intercept of (0, 3)
No. it is not the correct graph because this graph has a positive slope.
No. It is not the correct graph because this graph has a positive slope.
No. it is not the correct graph because this graph has a positive slope.
To determine whether this is the correct graph of y = -52 + 4, we need to understand the equation of the line and analyze the information presented on the graph. Let's break it down.
The equation y = -52 + 4 represents a linear equation in slope-intercept form, where the coefficient of x is 0. This means the line is a horizontal line with a value of y equal to -52 + 4, which simplifies to -48.
Now, let's evaluate the given options:
1. No, it is not the correct graph because this graph used (0, 3) as the y-intercept.
This option is incorrect because the given equation does not have a y-intercept of 3. It should be -48.
2. Yes, it is the correct graph because this graph has a y-intercept of (0, 4).
This option is incorrect. Although the graph does intersect the y-axis at (0, 4), this does not align with the equation y = -52 + 4, which should have a y-intercept of -48.
3. Yes, it is the correct graph because this graph has an intercept of (0, 3).
This option is incorrect. The graph presented does not contain any information regarding intercept at (0, 3). Also, it does not match the equation y = -52 + 4.
4. No, it is not the correct graph because this graph has a positive slope.
This option is the correct answer. The graph displayed in the question has a positive slope, indicating that it does not represent the equation y = -52 + 4, which has a coefficient of x as 0, indicating a horizontal line.
Therefore, the correct answer is "No, it is not the correct graph because this graph has a positive slope."