Question

Help! Help! Help!

What is the distance between the vertices of the graphs corresponding to y = (x - 3)2 and y = x2 - 4?

A.0
B.1
C.5
D.13

Answer 1

C.5

Explanation:

y = (x - 3)^2

This is in the form y= a(x-h)^2 +k where (h,k) is the vertex

The vertex is at (3,0)

y = x^2 - 4

This is in the form y= a(x-h)^2 +k where (h,k) is the vertex

The vertex is at (0,-4)

The distance between the points is found by

d = sqrt( (x2-x1)^2 + (y2-y2)^2)

= sqrt(( 0-3)^2 + (-4-0)^2)

= sqrt( 9 + 16)

= sqrt(25)

= 5