16 points PLZ HELP which equation represents the function graphed on the coordinate plane
2 answers:
Answer:
The correct option is C) .
Step-by-step explanation:
Consider the provided graph:
The Parent Function for the provided graph is .
The graph of is shifted 3 unit up and 1 unit right to the origin.
For a function the function
shift <em>k</em> units up.
For the function the function
shift <em>h</em> units right.
As we know the graph has been shifted shifted 3 unit up and 1 unit right to the origin.
Therefore, the required equation is:
Hence, the correct option is C) .
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Answer:
OK, lets start by drawing a basic graph (the first one) so we can visualize.
We already know that the y coordinate of the circle's center is .
We know that the circle is tangent to the axis at
That means the x coordinate of the center has to be , as the tangent is a point on the edge of the circle that touches a line at exactly one point.
The radius is the distance from the center of the circle to its edge. We know the center's location now, it is and a point on the edge of the circle (the tangent point) which is
. so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)
We can imagine the circle should look like this (the second one):
Now we can piece together an equation
The equation of a circle is where
is the center and
is the radius. When we put the numbers in: we get
which can be simplified into
which is the answer.
Step-by-step explanation:
