Everything Maths Grade 10

Step 2: Calculate the point of intersectionE

AtEthe two graphs intersect so we can equate the two expressions:

x2 =x^2 + 4

)x^2 +x6 = 0

)(x2)(x+ 3) = 0

)x= 2or 3

AtE,x= 3 , thereforey=x2 = 3 2 = 5. This gives the pointE(3;5).

Step 3: Calculate distanceCD

CD=CO+OD

= 4 + 2

= 6

DistanceCDis 6 units.

Step 4: Write the final answer

1.coordinates ofA(2; 0),B(2; 0),C(0; 4),D(0;2)

2.coordinates ofE(3;5)

3.distanceCD= 6units

Worked example 25: Interpreting trigonometric graphs

QUESTION

Use the sketch to determine the equation of the trigonometric functionfof the formy=af() +q.

M(90◦;^32 )

N(210◦; 0)



y

Chapter 6. Functions 211