Question

Write the formula for absolute value function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).

Answer 1

y = -8|x| + 6

Explanation:

y = a|x-b| + c; (b,c) = vertex and a = constant

y = a|x-0| + 6 -->

y = a|x| + 6 -->

-2 = a|-1| + 6 -->

-2 = a + 6 -->

-8 = a -->

y = -8|x| + 6