We will have the following:
First, we solve both equations for y, that is:
&
From this we can see that they are parallel lines, that do not share any common points, so there is no solution for the system.
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1 answer:
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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