The graph of y = ax^2+ C contains the point (2, 14). Which point lies on the graph of y = a(x - 2)² + c?

Given:

The graph of contains the point (2, 14).

To find:

The point which lies on the graph of .

Solution:

Consider the given equations are

    ...(i)

     ...(ii)

The translation is defined as

where, a is horizontal shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

From equation (i) and (ii), it is clear that a=-2. So, graph of shifts 2 units right to get the graph of .

It means each point on shifts 2 units right.

(2, 14) lies on .

Therefore, (4,14)  must be lies on .

just sum

10 + 10 = 20