For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range.

The the vertex is: (2, 4)

Domain: all real numbers

Range:

Step-by-step explanation:

Quadratic functions can be written vertically as follows

Quadratic functions can be written vertically as follows

Where the point (h, k) represents the vertex of the quadratic function.

For this type of functions the domain is always all real numbers and the range is or if then the range is

In this case the function is:

So

The the vertex is: (2, 4)

Domain: all real numbers

Range:

10 b/c 5*2 =10

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b