# What is the standard form of y=5(x-3)^2-7?

Jan 27, 2016

$y = 5 {x}^{2} - 30 x + 38$

#### Explanation:

Since this is a quadratic equation, the standard form should appear this way

$y = a {x}^{2} + b x + c$

In this case, you will have to expand and simplify (if possible) the equation to get the standard form.

[Solution]
$y = 5 {\left(x - 3\right)}^{2} - 7$
$y = 5 \left({x}^{2} - 6 x + 9\right) - 7$
$y = 5 {x}^{2} - 30 x + 45 - 7$
$y = 5 {x}^{2} - 30 x + 38$