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

Aug 8, 2018

$y = 25 {x}^{2} - 30 x + 2$

#### Explanation:

$\text{the standard form of a parabola is}$

•color(white)(x)y=ax^2+bx+c;a!=0

$\text{expand the factor and collect like terms}$

$y = 25 {x}^{2} - 30 x + 9 - 7$

$y = 25 {x}^{2} - 30 x + 2 \leftarrow \textcolor{red}{\text{in standard form}}$
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