The distance between(-12,-9) and (12,-9)
2 answers:
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The maximum height and horizontal distance is required.
Maximum height 8 feet; horizontal distance 16 feet
The given path is
If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.
or
The distance between -5 and 11 is
Middle point would be from
.
So,
The maximum height will be
The maximum height is 8 feet and the horizontal distance is 16 feet.
Learn more:
The equation of the quadratic function shown in the graph y - 8 = -2(x + 1)².
<h3>How to illustrate the graph?</h3>The vertex of this parabola is (-1, 8). It opens downward, so the x² term has a negative coefficient. The zeros are (-3, 0) and (1, 0), and the y-intercept is (0, 7).
Through the vertex form of the equation of a parabola we get:
y - (8) = a(x - (-1)) + 7, or.y - 8 = a(x + 1)².
Find coefficient a by substituting the coordinates (-3, 0) in this equation:
0 - 8 = a(-3 + 1)^2, or
-8 = a(-2)² or a = -2
The desired equation is y - 8 = -2(x + 1)^2
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