If f(x) = x2, which of the following describes the graph of f(x) - 5? a)the graph of f(x) - 5 is a vertical shift of f(x) = x2 five units up. b)the graph of f(x) - 5 is a vertical shift of f(x) = x2 five units down. c)the graph of f(x) - 5 is a horizontal shift of f(x) = x2 five units to the right. d)the graph of f(x) - 5 is a horizontal shift of f(x) = x2 five units to the left.

Option B The graph of is a vertical shift of five units down.

Step-by-step explanation:

we have

Is a vertical parabola open upward with the vertex at

Let

so

Is a vertical parabola open upward with the vertex at

The rule of the translation of f(x)-----> g(x) is equal to

That means-----> The translation is units down

therefore

The graph of is a vertical shift of five units down.

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)