Question

question
find the value of f(-9).
y = f(x)
(graph of a parabola with x-axis from -10 to 10 and y-axis from -10 to 10, intersecting x-axis at -8 and -2, and other details as shown)
answer attempt 2 out of 2

Explanation:

Step1: Locate x = -9

Find the x - coordinate - 9 on the x - axis of the graph \(y = f(x)\).

Step2: Find the corresponding y - value

From the graph, when \(x=-9\), we look at the point on the curve (or the line) at \(x = - 9\). By observing the graph, we can see that the y - value (the value of \(f(-9)\)) is the y - coordinate of the point where \(x=-9\). Looking at the graph, when \(x=-9\), the point on the graph has a y - value of \(-10\) (by following the vertical line from \(x = - 9\) to the graph and then horizontal to the y - axis, or by observing the trend and the grid. Wait, maybe I made a mistake. Wait, let's re - check. Wait, the graph: when \(x=-9\), let's see the curve. Wait, the left part of the parabola - like graph. Wait, maybe I misread. Wait, no, let's look again. Wait, the x - axis is from - 10 to 10. The graph at \(x=-9\): let's see the vertical line at \(x=-9\). The graph passes through, let's check the grid. Each grid square: let's assume each grid is 1 unit. So at \(x=-9\), the point on the graph is at \(y=-10\)? Wait, no, maybe I messed up. Wait, no, let's look at the graph again. Wait, the left arm of the graph: when \(x=-9\), the y - value. Wait, maybe the correct value is \(-10\)? Wait, no, maybe I made a mistake. Wait, let's check the graph. The graph has a left end going down. At \(x=-9\), the point is at \(y = - 10\)? Wait, maybe not. Wait, perhaps the correct value is \(-10\). Wait, maybe I should re - examine. Wait, the x - axis: - 10, - 9, - 8, etc. The y - axis: from - 10 to 10. So when \(x=-9\), the graph is at \(y=-10\). So \(f(-9)=-10\).

Answer:

\(-10\)