Question

unit algebra: concepts and connections - aaa07
introduction to quadratic functions
evaluating a quadratic function using an equation
evaluate the function ( f(x) = -2x^2 - 3x + 5 ) for the input value ( -3 ).
(there are some boxes with numbers 2, -4, 32, -22, maybe for other input values or results, but the main question is about evaluating at -3)

Explanation:

Step1: Substitute $x=-3$ into function

$f(-3) = -2(-3)^2 - 3(-3) + 5$

Step2: Calculate exponent term

$(-3)^2 = 9$, so $-2(9) = -18$

Step3: Calculate linear term

$-3(-3) = 9$

Step4: Sum all terms

$-18 + 9 + 5$

Step5: Compute final result

$-18 + 14 = -4$

Answer:

$-4$