For this case we have that by definition, the equation of a line of the point-slope form is given by:
Where:
m: It's the slope
It is a point through which the line passes
To find the slope, we need two points through which the line passes, observing the image we have:
Thus, the equation is of the form:
We choose a point:
Finally, the equation is:
Answer:
Given:
Consider the quadratic function is
With given vertex (5,8) and given point (1,3).
To find:
The equation of quadratic function.
Solution:
The quadratic function is
...(i)
Where, (h,k) is the vertex and a is a constant.
Vertex is (5,8). So,
Putting in (i), we get
...(ii)
The given point is (1,3). Putting x=1 and y=3 in (ii), we get
Putting in (ii), we get
Therefore, the required quadratic function is .