General

General

Easy

Question

In the equation above, a is a constant. The graph of the equation in the x y - plane is a parabola. Which of the following is true about the parabola?

- its minimum occurs at (-3,a)
- its minimum occurs at (3,a)
- its minimum occurs at (-3,a)
- its minimum occurs at (3,a)

Hint:

**Hint:**

- A quadratic equation is an equation which has degree two.

## The correct answer is: its minimum occurs at (-3,a)

### Explanation:

- We have given an equation .
- We have to find the point, where the minimum value of function occurs.

Step 1 of 1:

We have given

Rewrite this equation,

Here, we can see that is always positive.

It means that any value of will give us value less than .

Therefore, we can say that the minimum value will be and it will occur at .

Now the maximum value occur when

So,

At x=3

The value of function will be

And Minimum occur at

And Minimum occur at

Hence, Option C is correct.

So,

At

The value of function will be

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