y 4 0-9 2 -3 ? 108642 24 x 00 2 9 41 6 10
The Correct Answer and Explanation is:
The Correct Answer and Explanation is:
The correct answer is -9.
Explanation
The question asks to find the value of f(-3) for the function represented by the graphed parabola. In function notation, f(x) represents the output value (the y-coordinate) of the function for a given input value (the x-coordinate). Therefore, finding f(-3) means we need to determine the y-value on the graph when the x-value is -3.
To find this value from the graph, follow these steps:
- Locate the input value on the x-axis. The x-axis is the horizontal line. Find the number -3 on this axis. It is located exactly halfway between the grid lines marked -2 and -4.
- Find the corresponding point on the parabola. From the position x = -3, move vertically downwards until you reach the curve of the parabola. The graph has several points highlighted with red dots, and one of these dots lies precisely at the x-coordinate of -3. This dot represents the point on the function where the input is -3.
- Determine the output value from the y-axis. Once you have located the point (-3, y) on the parabola, move horizontally from this point to the left until you reach the y-axis, which is the vertical line. Read the value at this position on the y-axis.
Following this horizontal line from the point on the curve, we can see that it aligns perfectly with the mark for -9 on the y-axis. This means that when x is -3, the corresponding y-value is -9.
Therefore, the coordinates of the point are (-3, -9). This tells us that for this function, f(-3) = -9. Looking at the multiple-choice options provided, the first option is -9, which matches our result from the graph.
