Question

try 3: rewrite the function $y = 5(x - 3)^2 + 8$ into standard form.

Explanation:

Step1: Expand the squared binomial

$(x-3)^2 = x^2 - 6x + 9$

Step2: Multiply by the leading coefficient

$5(x^2 - 6x + 9) = 5x^2 - 30x + 45$

Step3: Add the constant term

$5x^2 - 30x + 45 + 8 = 5x^2 - 30x + 53$

Answer:

$y = 5x^2 - 30x + 53$