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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

Determine the equation of the graph and select the correct answer below A y x 32 2 B y x 32 2 C y x 32 2 D y x 32 2 class=

Respuesta :

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:

Option C is correct

[tex]y = (x+3)^2+2[/tex]

Step-by-step explanation:

The equation of parabola is given by:

[tex]y = a(x-h)^2+k[/tex]

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;

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

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

Substitute this point in [2] we have;

[tex]11= a(0+3)^2+2[/tex]

⇒[tex]11= 9a+2[/tex]

Subtract 2 from both sides we have;

[tex]9= 9a[/tex]

Divide both sides by 9 we have;

a = 1

⇒[tex]y = (x+3)^2+2[/tex]

therefore, the equation of the graph is, [tex]y = (x+3)^2+2[/tex]

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