Question

Which of the following is a point you can generate to create the parabola for the quadratic equation y=−6x^(2)+3x+8
?(1 point)
Responses

(−3,−55)

left parenthesis negative 3 comma negative 55 right parentheis

(−6,8)

left parenthesis negative 6 comma 8 right parentheis

(−3,323)

left parenthesis negative 3 comma 323 right parentheis

(−6,206)

left parenthesis negative 6 comma 206 right parentheis

Answer 1

Plug each x into y = −6x^2 + 3x + 8.

For x = −3: y = −6(−3)^2 + 3(−3) + 8 = −6·9 − 9 + 8 = −54 − 9 + 8 = −55 → (−3, −55) is on the parabola.

For x = −6: y = −6(36) + 3(−6) + 8 = −216 − 18 + 8 = −226, so neither (−6,8) nor (−6,206) match.

Answer: (−3, −55).