The graph of g(x) is a translation of the function f(x) = x2. the vertex of g(x) is located 5 units above and 7 units to the right of the vertex of f(x). which equation represents g(x)?
g(x) = (x + 7)2 + 5
g(x) = (x – 7)2 + 5
g(x) = (x + 5)2 + 7
g(x) = (x – 5)2 + 7

we know that

The graph of g(x) is a translation of the function f(x)

so

the vertex of f(x) is the point

the vertex of g(x) is located units above and units to the right of the vertex of f(x)

The rule of the translation is

Find the vertex of the function g(x)

the vertex of g(x) is the point

the equation of the function g(x) in the vertex form is equal to

where

(h,k) is the vertex

substitute the value of the vertex in the equation

the answer is

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic