Which equation has a graph that lies entirely above the x-axis? O y = -(x + 7)2 + 7
O y = (x - 7)2-7
O y = (x – 7)2 + 7
O y = (x - 7)

Option C.

Step-by-step explanation:

The vertex form of a parabola is

where, a is constant, (h,k) is vertex.

If a<0, then it is a downward parabola and if a>0, then it is an upward parabola.  

A downward parabola never lies entirely above the x-axis.

First equation is

It is a downward parabola and vertex is (-7,7).

Second equation is

It is an upward parabola and vertex is (7,-7).

Third equation is

It is an upward parabola and vertex is (7,7).

Fourth equation is

It is a linear equation with y-intercept -7.

Only equation 3 is an upward parabola whose vertex lies above the x-axis.