Trigonometry Examples

$g (x) = a (x - h) x^{2} + k$

Step 1

Apply the distributive property.

$g (x) = (a x + a (- h)) x^{2} + k$

Step 2

Rewrite using the commutative property of multiplication.

$g (x) = (a x - a h) x^{2} + k$

Step 3

Apply the distributive property.

$g (x) = a x \cdot x^{2} - a h x^{2} + k$

Step 4

Multiply $x$ by $x^{2}$ by adding the exponents.

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Step 4.1

Move $x^{2}$ .

$g (x) = a (x^{2} x) - a h x^{2} + k$

Step 4.2

Multiply $x^{2}$ by $x$ .

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Step 4.2.1

Raise $x$ to the power of $1$ .

$g (x) = a (x^{2} x) - a h x^{2} + k$

Step 4.2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$g (x) = a x^{2 + 1} - a h x^{2} + k$

Step 4.3

Add $2$ and $1$ .

$g (x) = a x^{3} - a h x^{2} + k$