Determine the equation of the graph and select the correct answer below. y = (x + 2)^2 + 4 y = (x − 2)^2 − 4 y = –(x − 2)^2 − 4 y = –(x + 2)^2 − 4

The vertex form of a square function:

(h, k) - coordinates of a vertex

We have the vertex (-2, -4) → h = -2 and k = -4

y = -(x - 2)^2 - 4

Step-by-step explanation:

If we have a function of the form:

y(x) = a*(x - b)^2 + c

The vertex of the function will be located at the point (b, c)

This happens because the square therm has a minimum (or maximum if a is negative) when x = b, so this is is the minimal value of x, and the minimal value of y is c.

Here in the graph, we can see that the vertex is at (-2, - 4) so we have that c = -4, and b = -2

the function is:

y(x) = a*(x + 2) - 4

And because the "hands" of the graph are coming down, we know that the value of a is negative, and the only option where a is negative, b = -2 and c = -4  is the third option:

y = -(x - 2)^2 - 4

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2