Type the correct answer in each box. Use numerals instead of words.
Function fis given by the table of values shown.
x 0 1 2 3
f(x) 7 0 -5 -8
If function fis reflected across the x-axis to obtain function g, complete the table of values which represents function g.
x 0 1 2 3 4
g(x)

-7, 0, 5, 8

Step-by-step explanation:

When a function is reflected across the x-axis, the x values stay the same while the y-values become the opposite (multiply by -1)

g(0) = f(0) * -1 = 7 * -1 = -7

g(1) = f(1) * -1 = 0 * -1 = 0

g(2) = f(2) * -1 = -5 * -1 = 5

g(3) = f(3) * -1 = -8 * -1 = 8

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

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step-by-step explanation: