Question

Which quadratic inequality does the graph below represent?

Answer 1

Answer: last option

Explanation:

The parent function of a quadratic function is :

`y=x^2`

The graph shown is the graph of parent function shifted 3 units down:

`y=x^2-3`

Then the second option is not correct.

Now you must choose any point of the shaded region and substitute it into the inequality 1 and 3:

`x=2`

`y=0`

`0\geq(2)^2-3\\0\geq1` ( THIS IS NOT TRUE).

`0\leq(2)^2-3\\0\leq1` (TRUE)

Answer 2

Choice 3 is the inequality for this graph.

Explanation:

We have given the graph.

We have to find the inequality for this graph.

The parent function is :

f(x) = x²

When we shift the parent function 3 units down we get,

f(x) = x² - 3

From this, it is clear that the choice B is not correct.

Now check the other inequalities we get,

Take any point from the shaded region and put in the 1 and 3 choice we get,

x= -2 and y = 0 put it in the inequality one by one we get,

1ST CHOICE:

y >= x²-3

0 >= (-2)²-3

0 >= 4-3

0>= 1

It is not true.

3rd choice:

y<= x² - 3

0<= (-2)² -3

0<=1

This is true.

So, choice 3 is correct.

0 >=-1