The graph models the linear relationship between the temperature of the Earth’s atmosphere and the altitude above sea level. Whi
ch of these best represents the rate of change of the temperature with respect to altitude?
2 answers:
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Looking at the graph, we can say that:
- It opens downward and has a maximum of 0.
- The axis of symmetry passes through the vertex (the maximum value in this case). So, the x-coordinate of the vertex is 4, and the axis of symmetry is:
- We conclude that the coordinates of the vertex are:
- The x-intercepts are defined as those points whose y-coordinate is 0. Similarly, the y-intercepts are those points of x-coordinate equal to 0. Looking at the graph, the vertex itself is the x-intercept, and y = -8 is the y-intercept.