The following scatter plot represents the relationship between a person's weight and the number of calories the person burns in
one minute of jump roping. Using the line of best fit, about how many calories per minute could you expect a 75-pound person to burn while jump roping?
5
5.5
6
7
5
5.5
6
7
2 answers:
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So firstly, foil (x-8)(x-2):
Next, remember that the vertex lies on the axis of symmetry, and the equation to find the axis of symmetry is (a = x^2 coefficient, b = x coefficient). Solve for the axis of symmetry as such:
So now that we know that the axis of symmetry is x = 5, we also know that's the vertex's x-coordinate (since the vertex falls on the axis of symmetry). Now plug in 5 for x in the original equation to solve for f(5):
So putting it together, the vertex of this equation is (5,-9).