Question

Determine the equation of the graph and select the correct answer below.

Answer 1

I will have to say that it has to be D because the 2 is on the y-intercept at positive and if u go over 3 to the left its a negative.this is what I'm applying the answer is

Answer 2

Answer:

Option C is correct

$y = (x+3)^2+2$

Step-by-step explanation:

The equation of parabola is given by:

$y = a(x-h)^2+k$

where, (h, k) is the vertex and a is any constant value.

As per the statement:

From the given graph of parabola:

Vertex = (h, k) = (-3, 2)

Substitute in [1] we have;

$y = a(x+3)^2+2$                  .....[2]

Since, the graph of parabola cut at (0, 11)

Substitute this point in [2] we have;

$11= a(0+3)^2+2$

⇒$11= 9a+2$

Subtract 2 from both sides we have;

$9= 9a$

Divide both sides by 9 we have;

a = 1

⇒$y = (x+3)^2+2$

therefore, the equation of the graph is, $y = (x+3)^2+2$