Question

Express the equation y= x² + 10x +30 in the form y= a(x - h)² +k

Answer 1

`\large \boxed{\sf \ \ y=(x+5)^2+5 \ \ }`

Explanation:

Hello, please find my work below.

`y=x^2+10x+30\\\\\text{*** We can notice that ***}\\\\\text{*** } x^2+10x = x^2+2\cdot 5 \cdot x=(x+5)^2-5^2=(x+5)^2-25\\\\y=x^2+10x+30=(x+5)^2-25+30=(x+5)^2+5\\\\`

a = 1

h = -5

k = 5

Hope this helps.

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Thank you