Use the drawing tool to form the correct answer on the provided graph plot the x-intercept y-intercept and axis of symmetry for the function below g(x) = x2+4x+3

x-intercepts: x =-1, x=-3 when y=0

y-intercept, y=3, when x =0

axis of symmetry x = -2

Step-by-step explanation:

We are given the function:

We need to draw the graph for

of the given function.

For finding x-intercept put y=0, in the given function, we will put g(x) =0

We know that: g(x)=y

Putting y=0, we get:

Now, we need to solve the equation by factorization, to find value of x

So, we get x-intercepts: x =-1, x=-3 when y=0

For, finding y-intercept, put x =0

Putting x=0

So, we get y-intercept, y=3, when x =0

The formula used to calculate axis of symmetry is:

We have b=4 and a = 1

Putting values and finding axis of symmetry

So, we get axis of symmetry x = -2

We will also be requiring vertex of the function:

We can find h = -b/2a (same as axis of symmetry) we get h =-2

k can be found as k=f(h)

Put h=-2 in the function:

g(-2)=(-2)^2+4(-2)+3

g(-2)=4-8+3

g(-2)=-1

So, we get k = -1

The vertex (h,k) is (-2,-1)

Now, the graph is attached in figure below.