Question

PLEASE HELP ME I'M STUGGLING AND I NEED TO PASS FOR THE YEAR

Which of the following is in standard form of quadratic? f(x) = -3(x + 3)(x – 4) f(x) = -3(x - 2)^2 + 3 f(x) = -3x² – 3x + 2


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Answer 1

f(x) = -3x² – 3x + 2

Explanation:

Standard form of quadratic equation:
`f(x)=ax^2+bx+c`

Vertex form of quadratic equation:
`f(x)=a(x-h)^2+k`

(where (h, k) is the vertex of the function)

Intercept form of the quadratic equation:
`f(x)=(ax+c)(bx+d)`

Therefore,

• standard form:
  `f(x) = -3x^2- 3x + 2`
• vertex form:
  `f(x) = -3(x - 2)^2 + 3`
• intercept form:
  `f(x) = -3(x + 3)(x -4)`