Question

instructions
use the graph below to answer the questions to the right.
quadratic
2 fill in the blank 2 points
what is the vertex of the function graphed?
enter your answer as an ordered pairs with no spaces.
the vertex is type your answer...

Explanation:

Step1: Identify the vertex definition

The vertex of a parabola is its highest or lowest point (the turning point). For the given graph, it's the peak of the parabola.

Step2: Locate the vertex on the graph

Looking at the grid, the vertex appears to be at the point where \( x = 2 \) (assuming each grid square is 1 unit) and \( y = 4 \)? Wait, no, let's re - examine. Wait, the graph: let's check the coordinates. Wait, maybe I misread. Wait, the x - axis: let's see the graph. Wait, the parabola's vertex: from the graph, let's count the grid. Wait, maybe the vertex is at (2,4)? No, wait, maybe the x - coordinate is 2 (since from the origin, moving 2 units right) and y - coordinate: let's see the y - axis. Wait, maybe the correct vertex is (2,4)? Wait, no, maybe I made a mistake. Wait, let's look again. Wait, the graph: the parabola opens downward? Wait, no, the graph as drawn: the red curve. Wait, maybe the vertex is at (2,4)? Wait, no, maybe the coordinates are (2,4)? Wait, no, let's check the grid. Wait, the x - axis: the vertical line is x = 0 (origin), then x = 2 (two units right), and y - axis: the horizontal line is y = 0, then y = 4? Wait, maybe the vertex is (2,4). Wait, no, maybe I messed up. Wait, the problem's graph: let's assume that each grid square is 1 unit. So the vertex is at (2,4)? Wait, no, maybe (2, 4) is wrong. Wait, maybe the vertex is at (2, 4). Wait, no, let's think again. The vertex of a parabola is the maximum point (since it opens downward). So looking at the graph, the highest point (vertex) is at x = 2 (since from the origin, moving 2 units right) and y = 4 (moving 4 units up). So the ordered pair is (2,4). Wait, but maybe I made a mistake. Wait, let's check the graph again. Alternatively, maybe the vertex is at (2, 4). So the answer is (2,4).

Answer:

(2,4)