A Level Maths part 3

x² + 2x + y² = 24

What is the centre of the circle?

• (1,0)

• (-1,0)

• 5

• (0,2)

State the range of the graph of

y = cos2x

• All real x

• All real y

• -1 < y < 1

• -1 $\le$ y $\le$ 1

What transformation maps the graph of y = e^x on to y = e^-x

• Reflection in x axis

• Reflection in y axis

• Translation of 1 unit left

• Translation of 1 unit down

Solve |x + 2| = 5

• x = 3

• x = -3

• x = 3 and x = -3

• x = 3 and x = -7

Factorise 4x² - 81

• (2x+9)(2x-9)

• 4(x² - 20.25)

• (2x+81)(2x-81)

• (x+9)(x-9)

If sinx = 2/3

What is the value of cosecx?

• -2/3

• 0

• 3/2

• 1/3

f(x) = 2x³ + x³ - 4x + 1

Is (x-1) a factor of f(x) ?

• Yes

• No

• it depends on the value of x

• 0