# Question #6d616

##### 1 Answer

#### Answer:

Y intercept: At the point

Axis of symmetry: At

Vertex: At the point

#### Explanation:

**Let's have a look at the y-intercept first:**

Y intercepts where x =0.

Therefore, substitute all x variables with 0 and solve for "y".

Therefore, the y intercept is present at the point (0,1)

**Now let's have a look at the vertex:**

**Note: I'll use the terms** Turning Point **and** Vertex **interchangeably as they are the same thing.**

Consider the general form of a parabolic function:

If we compare the equation that you have presented:

We can determine that:

The

The

The constant term is 1; this implies that

Therefore, we can use the formula:

Substituting the appropriate values into the formula we get:

Therefore, the

Substitute

Therefore,

Simplifying the function we get:

Therefore, the vertex of the function is present at the point

**Finally, let's have a look at the axis of symmetry:**

The axis of symmetry is essentially the

If we have determined the