Tricia completed the square of the quadratic function f(x) = x² + 14x + 2 and determined the coordinates of the minimum value are (-7, - 47). Which equation must be Tricia's result?
f(x = (x +7)² + 47
f(x) = (x + 7)² - 47
f(x) = (x - 7)² + 47
f(x) = (x - 7)² - 47

ii) The minimum value of the result of the quadratic equation in i) will be achieved when [tex](x + 7)^{2}[/tex] is zero as any square value is always positive and thus the minimum value of a square is always zero.

iii) [tex](x + 7)^{2}[/tex] is zero when x = -7 and when x = -7 then y = f(x) = -47

iv) The co-ordinates which give the minimum value for the quadratic function are (-7, -47)

Tricia completed the square of the quadratic function f(x) = x² + 14x + 2 and determined the coordinates of the minimum value are (-7, - 47). Which equation must be Tricia's result? f(x = (x +7)² + 47 f(x) = (x + 7)² - 47 f(x) = (x - 7)² + 47 f(x) = (x - 7)² - 47

Respuesta :

Otras preguntas

Tricia completed the square of the quadratic function f(x) = x² + 14x + 2 and determined the coordinates of the minimum value are (-7, - 47). Which equation must be Tricia's result?
f(x = (x +7)² + 47
f(x) = (x + 7)² - 47
f(x) = (x - 7)² + 47
f(x) = (x - 7)² - 47