Answer:
B) .
Step-by-step explanation:
The vertex form of the equation is given by .
We plug in the vertex to obtain:
.
Since the graph passes through (5,5) and (9,5), they must satisfy its equation.
.
.
Divide both sides by 4.
Therefore the equation is:
.
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have two points through which the line passes:
We found the slope:
Substituting we have:
Thus, the equation is of the form:
We substitute one of the points and find the cut-off point:
Finally, the equation is:
ANswer: