Graph Using a Table of Values f(x)=-2(2)^(x+5)-8

$f (x) = - 2 {(2)}^{x + 5} - 8$

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

$y = - 2 {(2)}^{(- 2) + 5} - 8$

Solve the equation for $y$ .

Remove parentheses.

$y = - 2 \cdot 2^{- 2 + 5} - 8$

Remove parentheses.

$y = - 2 {(2)}^{(- 2) + 5} - 8$

Simplify $- 2 {(2)}^{(- 2) + 5} - 8$ .

Simplify each term.

Add $- 2$ and $5$ .

$y = - 2 \cdot 2^{3} - 8$

Raise $2$ to the power of $3$ .

$y = - 2 \cdot 8 - 8$

Multiply $- 2$ by $8$ .

$y = - 16 - 8$

Subtract $8$ from $- 16$ .

$y = - 24$

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

$y = - 2 {(2)}^{(- 1) + 5} - 8$

Solve the equation for $y$ .

Remove parentheses.

$y = - 2 \cdot 2^{- 1 + 5} - 8$

Remove parentheses.

$y = - 2 {(2)}^{(- 1) + 5} - 8$

Simplify $- 2 {(2)}^{(- 1) + 5} - 8$ .

Simplify each term.

Add $- 1$ and $5$ .

$y = - 2 \cdot 2^{4} - 8$

Raise $2$ to the power of $4$ .

$y = - 2 \cdot 16 - 8$

Multiply $- 2$ by $16$ .

$y = - 32 - 8$

Subtract $8$ from $- 32$ .

$y = - 40$

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

$y = - 2 {(2)}^{(0) + 5} - 8$

Solve the equation for $y$ .

Remove parentheses.

$y = - 2 \cdot 2^{0 + 5} - 8$

Remove parentheses.

$y = - 2 {(2)}^{(0) + 5} - 8$

Simplify $- 2 {(2)}^{(0) + 5} - 8$ .

Simplify each term.

Add $0$ and $5$ .

$y = - 2 \cdot 2^{5} - 8$

Raise $2$ to the power of $5$ .

$y = - 2 \cdot 32 - 8$

Multiply $- 2$ by $32$ .

$y = - 64 - 8$

Subtract $8$ from $- 64$ .

$y = - 72$

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

$y = - 2 {(2)}^{(1) + 5} - 8$

Solve the equation for $y$ .

Remove parentheses.

$y = - 2 \cdot 2^{1 + 5} - 8$

Remove parentheses.

$y = - 2 {(2)}^{(1) + 5} - 8$

Simplify $- 2 {(2)}^{(1) + 5} - 8$ .

Simplify each term.

Add $1$ and $5$ .

$y = - 2 \cdot 2^{6} - 8$

Raise $2$ to the power of $6$ .

$y = - 2 \cdot 64 - 8$

Multiply $- 2$ by $64$ .

$y = - 128 - 8$

Subtract $8$ from $- 128$ .

$y = - 136$

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

$y = - 2 {(2)}^{(2) + 5} - 8$

Solve the equation for $y$ .

Remove parentheses.

$y = - 2 \cdot 2^{2 + 5} - 8$

Remove parentheses.

$y = - 2 {(2)}^{(2) + 5} - 8$

Simplify $- 2 {(2)}^{(2) + 5} - 8$ .

Simplify each term.

Add $2$ and $5$ .

$y = - 2 \cdot 2^{7} - 8$

Raise $2$ to the power of $7$ .

$y = - 2 \cdot 128 - 8$

Multiply $- 2$ by $128$ .

$y = - 256 - 8$

Subtract $8$ from $- 256$ .

$y = - 264$

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

$\begin{array}{c} x & y \\ - 2 & - 24 \\ - 1 & - 40 \\ 0 & - 72 \\ 1 & - 136 \\ 2 & - 264 \end{array}$

Graph Using a Table of Values f(x)=-2(2)^(x+5)-8

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