Everything Maths Grade 10

15.Given the following graph, identify a function that matches each of the given equations:

 3  2  1 1 2 3

 4

 2

2

4

6

8

10

12

f(x)

g(x)

h(x)

x

y

a) y= 2x^2 b)y= 2x^2 + 3 c) y= 2x^2  4

16.Sketch the following functions:

a) y=x^2 + 3 b)y=^12 x^2 + 4 c) y= 2x^2  4

17.Sebastian and Lucas dive into a pool from different heights. Their midair paths can be described by the

following quadratic equations:y= 2 x^2 + 8for Sebastian andy=^23 x^2 + 6for Lucas.

y=^23 x^2 +6

y= 2 x^2 +8

A

B

C D

x

y

a)From what height did Sebastian dive?

b)From what height did Lucas dive?

c)How far from the pool wall did Lucas land?

d)How much closer to the pool wall did Sebastian land compared to Lucas?

218 6.8. Chapter summary