Question

Kiran graphed the equation

y = x^2 + 1 and noticed that the vertex is at (0, 1). He changed the equation to
y = (x - 3)^2 + 1 and saw that the graph shifted 3 units to the right and the vertex is now at (3,1).

Next, he graphed the equation y = x^2 + 2x + 1, observed that the vertex is at (-1, 0). Kiran thought if i change the squared term x^2 to (x-5)^2, the graph will move 5 units to the right and the vertex will be at (4,0).” do you agree with kiran explain or show your reasoning.

Answer 1

I agree with Kiran

Explanation:

Answer 2

You agree with Kiran

Explanation:

As seen in the first example, when you subtract a number from the X variable the amount taken away from it, called an horizontal transition. If the number was added then it would have been shifted to the right.