Answer:
c = 18
Step-by-step explanation:
The minimum value of the quadratic falls on the graph of the quadratic (parabola). So we can substitute the x and y values from the coordinate pair and use algebra to solve for c.
Given
x = 2
y = 10
Putting in the equation, we have:
[tex]2(2)^2 -8(2)+c=10[/tex]
Solving for c:
[tex]2(2)^2 -8(2)+c=10\\8-16+c=10\\-8+c=10\\c=10+8\\c=18[/tex]
So,
The value of c is 18
