Answer:
Therefore the answer is the fourth option y = f(x) = [tex]x^{2}[/tex] - 8x + 13
Therefore when x = 4 then y = -3 from the equation of parabola and this is the required vertex.
Step-by-step explanation:
i) f(x) = [tex]x^{2}[/tex] + 8x + 19 = [tex](x + 4)^{2}[/tex] + 3. SO the vertex is at (-4, 3)
Therefore the answer is the fourth option y = f(x) = [tex]x^{2}[/tex] - 8x + 13
= ([tex]x^{2}[/tex] - 8x + 16) + 3 = [tex](x-4)^{2}[/tex] - 3
Therefore when x = 4 then y = -3 from the equation of parabola and this is the required vertex.