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The radius of the circle is given to be r = 14.5
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:
Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:
Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
Answer:
Step-by-step explanation:
we have that
The axis of symmetry shown in the graph is x=4
we know that
The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
so
<em>Verify each case</em>
<em>case a)</em> we have
The vertex is the point (-4,0)
therefore
Cannot be the function
<em>case b)</em> we have
The vertex is the point (0,4)
The axis of symmetry is x=0
therefore
Cannot be the function
<em>case c)</em> we have
The vertex is the point (4,0)
The axis of symmetry is x=4
therefore
Could be the function
<em>case d)</em> we have
The vertex is the point (0,-4)
The axis of symmetry is x=0
therefore
Cannot be the function