Show your work to receive credit. graph each pair of functions on the same coordinate plane. describe a transformation that changes f(x) to g(x). f(x) = -x -2 g(x) = x + 3

Step-by-step explanation:

The two functions have opposite slope, so reflection across a horizontal line will change one to the other. The line of reflection will be the horizontal line through the point of intersection of these functions. The y-value of that point is halfway between the y-intercepts -2 and +3, so is 1/2.

The transformation can be described by ...

... g(x) = -(f(x) -1/2)) +1/2 . . . . reflection across the line y = 1/2

... g(x) = -f(x) +1 . . . . . . . . . . . simplified

Check

... g(x) = -(-x-2) +1 = x+2+1 = x+3 . . . . yes

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Alternate solution

The functions could also be a reflection of each other across the vertical line through their point of intersection at x=-5/2.

... g(x) = f(-(x +5/2) -5/2)

... g(x) = f(-x-5) . . . . . . . . . . simplified

Check

... g(x) = -(-x-5) -2 = x+5-2 = x+3 . . . . yes

the answer to the question is a

step-by-step explanation:

it has the same slope and the same y-intercept.

y + 11 = -7/9(x - 18)

y + 11 =-7/9x + 14

b

y = -7/9x + 3

y-intercept (0, 3)

the 2 figures are congruent bc if you reflect abcd over the y axis then over the d axis the figures overlap