Question

What is the equation of the following graph?

Answer 1

it is a parabola that opens up with the vertex at \((1,4)\) which you see from your graph. therefore it looks like \(y=a(x-1)^2+4\)

Answer 2

we can solve for \(a\) because it looks like \((5,8)\) is on the graph
if we put \(x=5\) and set the result equal to \(8\) you get
\[8=a(4-1)^2+4\]
\[8=9a+4\]
\[9a=2\]
\[a=\frac{9}{2}\]

Answer 3

right idea, but There's many a slip 'twixt the cup and the lip
can cool fix sat's mistake to find the correct value for a?