Question

write the function in standard form.
f(x) = 0.3(x - 3)^2 - 0.7
f(x) =
(simplify your answer. use integers or decimals for any numbers in the expression.)

Explanation:

Step1: Expand $(x-3)^2$

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

Step2: Multiply by 0.3

$0.3(x^2 - 6x + 9) = 0.3x^2 - 1.8x + 2.7$

Step3: Subtract 0.7

$0.3x^2 - 1.8x + 2.7 - 0.7 = 0.3x^2 - 1.8x + 2$

Answer:

$f(x)=0.3x^2 - 1.8x + 2$