Which equation has a graph that lies entirely above the x-axis?


Asked by maham237 @ in Mathematics viewed by 525 People


Oy= -(x + 7)2 + 7
O y=(x-77²-7
y = (x – 7)2 + 7
y = (x – 7)

Answered by maham237 @



Answer:

  • y = (x-7)^{2} + 7

Step-by-step explanation:

The graph that will lie above the x-axis will be having only positive values throughout its domain,

So, We have to check which graph is having y > 0 for every x.

  • y = -(x+7)^{2} + 7

clearly y will be negative for many values of x , as coefficient of variable is negative.

  • y = (x-7)^{2} - 7

Put x = 0, you will get y as negative .

  • y = (x-7)^{2} + 7

Since, Square of anything will always be positive , and here constant term is also positive , so, It will always be positive .

Thus, it is having its graph always above x axis.

  • y = x - 7

Put x = 0 , y = -7, which is negative


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