ANSWER
EXPLANATION
The given line passes through (1,4) and (3,-4).
The slope of this line is calculated using the formula:
We substitute the points into the slope formula to get:
We substitute the first point and slope into the point-slope formula
This implies that
We expand to get
Answer:
The first option,
Step-by-step explanation:
Because the graph is showing a quadratic function we need to start by the equation of a quadratic function in its vertex form, which is:
, where:
a= is a transformation coefficient
(h,k)=vertex coordinates
Because the vertex is (2,1) then h=2 and k=1, using the vertex form we obtain:
Now, because we have an extra point (0,5), we can find 'a' as follows:
, which can be simplified as:
Then the vertex form of the graph is:
, which is the first option.