Exercises for Question Type 4: Calculating the vertex and axis of symmetry of quadratic functions

Question 1

Skill question

Determine the vertex and axis of symmetry for $f (x) = x^{2} - 4 x + 7$ .

[6]

Question 2

Skill question

Determine the vertex and axis of symmetry of $f (x) = - 0.25 x^{2} + 0.5 x - 1$ .

[6]

Question 3

Skill question

Find the vertex and axis of symmetry of $f (x) = 5 x^{2} + 20 x + 15$ .

[6]

Question 4

Skill question

Determine the vertex and axis of symmetry of $f (x) = 0.5 x^{2} + 3 x + 1$ .

[6]

Question 5

Skill question

Calculate the vertex and axis of symmetry of the parabola $f (x) = - 3 x^{2} + 12 x - 4$ . [5 marks]

[5]

Question 6

Skill question

Given the vertex form $f (x) = 3 (x + 2)^{2} - 5$ , state the vertex and axis of symmetry.

[2]

Question 7

Skill question

Find the vertex and equation of the axis of symmetry of $f (x) = 2 x^{2} - 8 x + 5$ .

[5]

Question 8

Skill question

Find the vertex and equation of the axis of symmetry of the quadratic function $f (x) = 5 x^{2} + 6 x + 4$ .

[5]

Question 9

Skill question

Determine the vertex and axis of symmetry for $f (x) = - 2 x^{2} - 8 x - 6$ .

[5]

Question 10

Skill question

Calculate the vertex and axis of symmetry of the quadratic $f (x) = 7 x^{2} - 14 x + 10$ .

[6]

Question 11

Skill question

Find the coordinates of the vertex and the equation of the axis of symmetry of the graph of $f (x) = 4 x^{2} - 4 x + 1$ .

[6]

IB Mathematics Applications & Interpretation Question Type 4: Calculating the Vertex and Axis of Symmetry of Quadratic Functions Exercises