Am I right?

Question

Consider the function y=x^2+5x-2. What would happen to the graph if (x - 3) was substituted in place of the x?

A. The graph would shift up 3 units.

B. The graph would shift down 3 units.

C. The graph would shift 3 units to the right. <---

D. The graph would shift 3 units to the left.

Answer 1

Eq1: Y = x^2 + 5x - 2

h = -B/2A = -5/2
k = (-5/2)^2 + 5*(-5/2) - 2 = 25/4 - 25/2 - 2 = 25/4 - 50/4 - 8/4 = -33/4

V(-5/2, -33/4)

Y = (x-3)^2 + 5(x-3) - 2
Eq2: Y = x^2 - x - 8

h = -B/2A = 1/2
k = (1/2)^2 - 1/2 - 8 = -8 1/4 = -33/4

V(1/2, -33/4).
D. Shifted 3 units to the right.