Write as an Equation f(x)=2(x+2)^2-5 - Math solver

Math

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

Rewrite the function as an equation.

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

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

Tap for more steps…

Simplify each term.

Tap for more steps…

Rewrite ${(x + 2)}^{2}$ as $(x + 2) (x + 2)$ .

$y = 2 ((x + 2) (x + 2)) - 5$

Expand $(x + 2) (x + 2)$ using the FOIL Method.

Tap for more steps…

Apply the distributive property.

$y = 2 (x (x + 2) + 2 (x + 2)) - 5$

Apply the distributive property.

$y = 2 (x \cdot x + x \cdot 2 + 2 (x + 2)) - 5$

Apply the distributive property.

$y = 2 (x \cdot x + x \cdot 2 + 2 x + 2 \cdot 2) - 5$

$y = 2 (x \cdot x + x \cdot 2 + 2 x + 2 \cdot 2) - 5$

Simplify and combine like terms.

Tap for more steps…

Simplify each term.

Tap for more steps…

Multiply $x$ by $x$ .

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

Move $2$ to the left of $x$ .

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

Multiply $2$ by $2$ .

$y = 2 (x^{2} + 2 x + 2 x + 4) - 5$

$y = 2 (x^{2} + 2 x + 2 x + 4) - 5$

Add $2 x$ and $2 x$ .

$y = 2 (x^{2} + 4 x + 4) - 5$

$y = 2 (x^{2} + 4 x + 4) - 5$

Apply the distributive property.

$y = 2 x^{2} + 2 (4 x) + 2 \cdot 4 - 5$

Simplify.

Tap for more steps…

Multiply $4$ by $2$ .

$y = 2 x^{2} + 8 x + 2 \cdot 4 - 5$

Multiply $2$ by $4$ .

$y = 2 x^{2} + 8 x + 8 - 5$

$y = 2 x^{2} + 8 x + 8 - 5$

$y = 2 x^{2} + 8 x + 8 - 5$

Subtract $5$ from $8$ .

$y = 2 x^{2} + 8 x + 3$

$y = 2 x^{2} + 8 x + 3$

Write as an Equation f(x)=2(x+2)^2-5

Need help with MATH HOMEWORK

We can help your. Our mathematic problem solver answers your math homework questions with step-by-step explanations.

Need help with math? Try to Solve Algebra Math Problems here: https://elanyachtselection.com/