Methods2026 NHT Exam 2 Section A · Q9CAS active1 mark

Common tangent to two parabolas

A straight line is tangent to the graphs of both $y = x^2 + 4x$ and $y = (x + 5)^2 - 4$ .

The gradient of this line is

1 mark

-4

0

4

5

Hints, answer checking and worked solutions come with a Season Pass.

Methods2026 NHT Exam 2 Section A · Q9CAS active1 mark

A straight line is tangent to the graphs of both $y = x^2 + 4x$ and $y = (x + 5)^2 - 4$ .

The gradient of this line is

1 mark

-4

0

4

5

Hints, answer checking and worked solutions come with a Season Pass.