Sangeetha Pulapaka
0

STEP 1: Recall what are absolute values

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STEP 2: Recall what is an absolute value function

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STEP 3: Find the vertex of the absolute value function

Recall what is the vertex of a function

https://virtualnerd.com/common-core/hsf-functions/HSF-IF-interpreting-functions/C/7/7b/What-is-an-Absolute-Value-Function

To find the x-value  of the function y = |9x - 3|, set the equation to zero

9x - 3 = 0

9x - 3 + 3 = 0 + 3

9x = 3

x = \frac{3}{9}

x = \frac{1}{3}

Replace the variable x with \frac{1}{3} in the expression

y = | 9 \frac{1}{3} - 3|

y = |3 -3| = 0

The absolute value vertex is (\frac{1}{3},0)