## 2.6 Quadratic Function

Calculator Allowed: Yes Question Answer Transcription of this question: [Maximum mark: 6]Let f (x) 2×2 +4x—6(a)(b)(c)Express f (x) in the form f (x) + kWrite down the equation Of the axis Of symmetry Of the graph OfExpress f (x) in the form f (x) 2(x—[3 marks][l mark][2 marks]

## 2.6 Quadratic Function

Calculator Allowed: No Question Answer Transcription of this question: 2.[Maximum mark: 6]The following diagram shows part Of the graph Of f, where f(x) x 2(a)(b)Find both x-intercepts.Find the x-coordinate Of the vertex.[4 marks][2 marks]

## 2.6 Quadratic Function

Calculator Allowed: No Question Answer Transcription of this question: 9.[Maximum mark: 15]Let -12.(a)(b)(c)(d)Show that f(x) 3×2 + 6x —9For the graph Of f(i) write down the coordinates Of the vertex;(ii) write down the equation Of the axis Of symmetry;(iii) write down the y-intercept;(iv) find both x-intercepts.Hence sketch the graph Of f _Let g (x) The […]

## 2.6 Quadratic Function

Calculator Allowed: Yes Question Answer Transcription of this question: 7.imum mark: 7]The quadratic equation kr2 + (k — 3) x +1 = 0 has two equal real roots.(a)(b)Find the possible values of k.Write down the values of k for which x2real roots.-3)x+k[5 marks]= 0 has two equal[2 marks]

## 2.6 Quadratic Function

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 6]Let f (x)The graph passes through the points (—2, O) (O,Part Of the graph Of f is shown below., -4) and (4, 0)(a)(b)(c)Write down the value Of q and Of r.Write down the equation Of the axis Of symmetry.Find the value Of p.[2 marks][l […]

## 2.6 Quadratic Function

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 71Let f (x) —2×2. Part Of the graph Of f is shown below.(a)(b)Find the x-intercepts Of the graph.(i)(ii)Write down the equation Of the axis Of symmetry.Find the y-coordinate Of the vertex.[4 marks][3 marks]

## 2.6 Quadratic Function

Calculator Allowed: No Question Answer Transcription of this question: 9.[Maximum mark: 15]The following diagram shows part Of the graph Of a quadratic function f.246The x-intercepts are at (—4, 0) and (6, 0), and the y-intercept is at (0, 240)(a)(b)(c)Write down f(x) in the form f(x) 2—10 (x— p) (xFind another expression for f(x) in the […]

## 2.6 Quadratic Function

Calculator Allowed: No Question Answer Transcription of this question: 2.[Maximum mark: 6]The diagram below shows part of the graph of f (x) =(a)(b)Write down the x-intercepts Of the graph OfFind the coordinates Of the vertex Of the graph Of[2 marks][4 marks]

## 2.6 Quadratic Function

Calculator Allowed: No Question Answer Transcription of this question: 8.[Murimum mark: 15]Let f(x) = 3×2 —6x + p The equation f(x) = 0 has two equal roots.(i)(ii)Write down the value of the discriminant.Hence, show that p = 3The graph of f has its vertex on the x-axis.(b)(c)(d)(e)Find the coordinates of the vertex ofthe graph of […]

## 2.6 Quadratic Function

Calculator Allowed: No Question Answer Transcription of this question: [Maximum mark: 51Let f (x) = + k. The vertex Of the graph Of f is at (2, 3) and the graph passesthrough (1, 7).(a)(b)Write down the value Of h and Of k.Find the value Of a.[2][31