A goat is tethered to a stake in the ground with a 5-m rope. The goat can graze to the full length of the rope a full 360 degree
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Answer:
Option D) h(x), f(x), g(x)
Step-by-step explanation:
we know that
The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex of the parabola
Part 1) we have
This is a vertical parabola open upward
The vertex is a minimum The vertex is the point (0,-1)
The x-coordinate of the vertex is 0
so
The axis of symmetry is x=0
Part 2) we have
This is a vertical parabola open upward
The vertex is a minimum
Convert the equation into vertex form
The vertex is the point (4,-11)
The x-coordinate of the vertex is 4
so
The axis of symmetry is x=4
Part 3) we have
This is a vertical parabola open downward
The vertex is a maximum
Convert the equation into vertex form
The vertex is the point (-2,13)
The x-coordinate of the vertex is -2
so
The axis of symmetry is x=-2
Part 4) Rank their axis of symmetry from least to greatest
1) h(x) -----> axis of symmetry -2
2) f(x) -----> axis of symmetry 0
3) g(x) -----> axis of symmetry 4
so
h(x),f(x),g(x)
The fromula of a slope:
a) (-1, -8), (-7, -4)
substitute
b) (2.1, 3.8), (3.1, 7.6)
substitute