The Parabola: y = a(x + p)² + q (Grade 11) — Worksheet & Memo

∑ DANEMATHICS

FREE CAPS MATHS RESOURCES

Grade 11 · Functions

The Parabola: y = a(x + p)² + q (Grade 11)

MEMORANDUM

Name:

Class:

Date:

Mark

/ 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

1
Write down the turning point of y = 2(x + 2)² − 8.
(2)
(−2 ; −8)✓✓ (2)
2
Determine the x-intercepts of y = 2(x + 2)² − 8.
(2)
(x+2)² = 4 → x + 2 = ±2 → x = 0 or x = −4✓✓ (2)
3
Determine the y-intercept of y = 2(x + 2)² − 8.
(2)
x = 0 → y = 8 − 8 = 0✓✓ (2)
4
Write down the equation of the axis of symmetry of y = 2(x + 2)² − 8.
(2)
x = −2✓✓ (2)
5
Write down the range of y = 2(x + 2)² − 8.
(2)
y ≥ −8✓✓ (2)
6
Write down the domain of y = 2(x + 2)² − 8.
(2)
x ∈ ℝ✓✓ (2)
7
Write y = x² − 6x + 5 in the form y = a(x + p)² + q.
(2)
y = (x − 3)² − 4✓✓ (2)
8
For what values of x is y = 2(x + 2)² − 8 increasing?
(2)
To the right of the turning point: x > −2✓✓ (2)

TOTAL: 16 marks