Find an equation for the nth term of the arithmetic sequence.

-17, -12, -7, -2, ...

an = -17 + 5(n + 2)
an = -17 + 5(n + 1)
an = -17 + 5(n - 1)
an = -17 x 5(n - 1)

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

the opening of this porabola is facing up

step-by-step explanation:

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.