Write the equation for an absolute value function with a vertex at (1, 2), and one of the arms going through the point (-7, -4).

Question

Write the equation for an absolute value function with a vertex at (1, 2), and one of the arms going through the point (-7, -4).

Answer 1

two equations, one for a downward opening function:

y=(-3/4)lx-1l +2 is graphed as an inverted "V" shape

or an equation for a leftward opening absolute value function

x =(-4/3)ly-2l +1, is graphically a V shape on its side

actually, there're an infinite number of absolute value equations with vertex at (1,2) through the point (-7,-4). but the vertical and horizontal ones are the most simple.

Answer 2

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