3) the graph of the equation y = x2 + 1 is shown. which equation will shift the graph up 7 units? a) y = x2 + 7 b) y = x2 - 8 c) y = x2 + 8 d) y = (x+7)2

C)

Step-by-step explanation:

the function

Is a parabola that crosses the y-axis at .

So in a function of the form:  , the number indicates the point at which the graph of the function crosses the y-axis.

So, to find a function that is 7 units above, we need to add 7 to the number .

In this case

so adding 7:

So the resulting function, which is 7 units above is:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

(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