8 Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x − 3). Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g horizontally shifted right 3 units. B. The graph of h is the graph of g vertically shifted down 3 units. C. The graph of h is the graph of g horizontally shifted left 3 units. D. The graph of h is the graph of g vertically shifted up 3 units. Reset Next

The answer is:  " 4.47 units " .

Explanation:

Note the Pythagorean theorem for right triangles:

→ a² + b² = c² ; 

Solve for the "positive value of "c" ; 

in which "c" is the "hypotenuse" ; which is the length of VW ; 

in which one side of a right triangle is from:
 
"Point W" {coordinate of "(-4, -2)" to "(-2, -2)" ; which is "2 units" long; 

and another side of the right triangle is from:

  "(-2, -2)" to "(2, 2)" ; which is:  "4 units long)

c² = 2² + 4² ; 

Solve for the "positive value" of "c" ;  which is the "hypotenuse" ; which is the length of VW .


c² = 4 + 16 = 20 ; 

c² = 20 ; 

Take the "positive square root" of each side of the equation; to solve for "c" ; 

 ⁺√(c²) = ⁺√20; 

to get: 

→  c = √4√5 = " 2√5 units " ; 

or; using calculator:  " √20 = 4.4721359549995794 " ;  

→ round to:  "4.47 units" .