Web Analytics
shaCollNatahan
Answered

Which pair of equations generates graphs with the same vertex?

Ay = –(x + 4)2 and y = (x – 4)2
By = –4x2 and y = 4x2
Cy = –x2 – 4 and y = x2 + 4
Dy = (x – 4)2 and y = x2 + 4

Verified Answer :

scme1702

A quadratic equation may be expressed in vertex form as:
y = a(x - h)² + k, the vertex being (-h , k)
For option A, the vertices are visibly different. (-4 , 0) and (4 , 0)
For B, the graphs' vertices are the same, (0 , 0).
For C, the vertices (can be obtained by differentiating and putting equal to 0) are (0 , -4) and (0 , 4)
For D, the vertices are (4 , 0) and (0 , 4)
Thus, the answer is B.

Answer:

B)

Step-by-step explanation:

Edg 2020