Graph Using a Table of Values f(x)=(1/4)^(x-6)-1

$f (x) = {(\frac{1}{4})}^{x - 6} - 1$

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = {(\frac{1}{4})}^{(- 2) - 6} - 1$

Solve the equation for $y$ .

Remove parentheses.

$y = {(\frac{1}{4})}^{- 2 - 6} - 1$

Remove parentheses.

$y = {(\frac{1}{4})}^{(- 2) - 6} - 1$

Simplify ${(\frac{1}{4})}^{(- 2) - 6} - 1$ .

Simplify each term.

Subtract $6$ from $- 2$ .

$y = {(\frac{1}{4})}^{- 8} - 1$

Change the sign of the exponent by rewriting the base as its reciprocal.

$y = 4^{8} - 1$

Raise $4$ to the power of $8$ .

$y = 65536 - 1$

Subtract $1$ from $65536$ .

$y = 65535$

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = {(\frac{1}{4})}^{(- 1) - 6} - 1$

Solve the equation for $y$ .

Remove parentheses.

$y = {(\frac{1}{4})}^{- 1 - 6} - 1$

Remove parentheses.

$y = {(\frac{1}{4})}^{(- 1) - 6} - 1$

Simplify ${(\frac{1}{4})}^{(- 1) - 6} - 1$ .

Simplify each term.

Subtract $6$ from $- 1$ .

$y = {(\frac{1}{4})}^{- 7} - 1$

Change the sign of the exponent by rewriting the base as its reciprocal.

$y = 4^{7} - 1$

Raise $4$ to the power of $7$ .

$y = 16384 - 1$

Subtract $1$ from $16384$ .

$y = 16383$

Substitute $0$ for $x$ and find the result for $y$ .

$y = {(\frac{1}{4})}^{(0) - 6} - 1$

Solve the equation for $y$ .

Remove parentheses.

$y = {(\frac{1}{4})}^{0 - 6} - 1$

Remove parentheses.

$y = {(\frac{1}{4})}^{(0) - 6} - 1$

Simplify ${(\frac{1}{4})}^{(0) - 6} - 1$ .

Simplify each term.

Subtract $6$ from $0$ .

$y = {(\frac{1}{4})}^{- 6} - 1$

Change the sign of the exponent by rewriting the base as its reciprocal.

$y = 4^{6} - 1$

Raise $4$ to the power of $6$ .

$y = 4096 - 1$

Subtract $1$ from $4096$ .

$y = 4095$

Substitute $1$ for $x$ and find the result for $y$ .

$y = {(\frac{1}{4})}^{(1) - 6} - 1$

Solve the equation for $y$ .

Remove parentheses.

$y = {(\frac{1}{4})}^{1 - 6} - 1$

Remove parentheses.

$y = {(\frac{1}{4})}^{(1) - 6} - 1$

Simplify ${(\frac{1}{4})}^{(1) - 6} - 1$ .

Simplify each term.

Subtract $6$ from $1$ .

$y = {(\frac{1}{4})}^{- 5} - 1$

Change the sign of the exponent by rewriting the base as its reciprocal.

$y = 4^{5} - 1$

Raise $4$ to the power of $5$ .

$y = 1024 - 1$

Subtract $1$ from $1024$ .

$y = 1023$

Substitute $2$ for $x$ and find the result for $y$ .

$y = {(\frac{1}{4})}^{(2) - 6} - 1$

Solve the equation for $y$ .

Remove parentheses.

$y = {(\frac{1}{4})}^{2 - 6} - 1$

Remove parentheses.

$y = {(\frac{1}{4})}^{(2) - 6} - 1$

Simplify ${(\frac{1}{4})}^{(2) - 6} - 1$ .

Simplify each term.

Subtract $6$ from $2$ .

$y = {(\frac{1}{4})}^{- 4} - 1$

Change the sign of the exponent by rewriting the base as its reciprocal.

$y = 4^{4} - 1$

Raise $4$ to the power of $4$ .

$y = 256 - 1$

Subtract $1$ from $256$ .

$y = 255$

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & 65535 \\ - 1 & 16383 \\ 0 & 4095 \\ 1 & 1023 \\ 2 & 255 \end{array}$

Graph Using a Table of Values f(x)=(1/4)^(x-6)-1

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