Question

consider the graph of the following quadratic function. The equation of the quadratic function is repersented by this graph is y=a(x-3)^2-1.What is the value of a?

Answer 1

It would be 2. Plug this equation into a graphing calculator with a=2 and the coordinates work out. You have to look where the parabola intersects at x= 2 and 4

Answer 2

a = 2

Explanation:

One easy approach is as follows:

We see that (2, 1) is a point on the graph.

Substituting this into the equation gives:

1 = a(2-3)^2 - 1.

Solving:

1 = a x(-1)^2 -1

1 = a - 1

2 = a