Question

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

A. y = (x + 3)2 − 2
B. y = (x − 3)2 − 2
C. y = (x + 3)2 + 2
D. y = (x − 3)2 + 2

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

Option C is correct

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

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`