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

Option C is correct

Step-by-step explanation:

The equation of parabola is given by:

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;

                 .....[2]

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

Substitute this point in [2] we have;

⇒

Subtract 2 from both sides we have;

Divide both sides by 9 we have;

a = 1

⇒

therefore, the equation of the graph is,

4096 bacteria

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it