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

The graph that lies entirely above x-axis is:

(Option 3 is correct )

Step-by-step explanation:

" The graph must lie entirely above x-axis means that there is no negative solution of the equation or no zero solution i.e. y must always attain positive value for any x "

the equation that satisfies this condition is:

Hence, option 3 is correct.

Because in

option 1:

for x=0 we have y= -42

Hence option 1 is incorrect some points will lie below x-axis.

option 2:

when x=7 y= -7

Hence some points will lie below x-axis.

Hence option 2 is incorrect.

option 4:

When x=7 y=0.

Hence this point lie on the x-axis.

Hence, option 4 is incorrect.

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step-by-step explanation: