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

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

Step 1

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

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

Step 2

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Add $- 2$ and $5$ .

$y = - 2 \cdot 5^{3}$

Raise $5$ to the power of $3$ .

$y = - 2 \cdot 125$

Multiply $- 2$ by $125$ .

$y = - 250$

Step 3

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

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

Step 4

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Add $- 1$ and $5$ .

$y = - 2 \cdot 5^{4}$

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

$y = - 2 \cdot 625$

Multiply $- 2$ by $625$ .

$y = - 1250$

Step 5

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

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

Step 6

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Add $0$ and $5$ .

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

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

$y = - 2 \cdot 3125$

Multiply $- 2$ by $3125$ .

$y = - 6250$

Step 7

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

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

Step 8

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Add $1$ and $5$ .

$y = - 2 \cdot 5^{6}$

Raise $5$ to the power of $6$ .

$y = - 2 \cdot 15625$

Multiply $- 2$ by $15625$ .

$y = - 31250$

Step 9

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

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

Step 10

Solve the equation for $y$ .

Remove parentheses.

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

Remove parentheses.

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

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

Add $2$ and $5$ .

$y = - 2 \cdot 5^{7}$

Raise $5$ to the power of $7$ .

$y = - 2 \cdot 78125$

Multiply $- 2$ by $78125$ .

$y = - 156250$

Step 11

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

$\begin{array}{c} x & y \\ - 2 & - 250 \\ - 1 & - 1250 \\ 0 & - 6250 \\ 1 & - 31250 \\ 2 & - 156250 \end{array}$

Step 12

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

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