9. Q2. Write down the roots of the parabola below
Quadratic Formal HW
National 5
Q1. The diagram below shows the graph y = kx2
x
y
(5,50)
Find the value of k and write down the equation of the parabola
Q3. The diagram below shows part of a quadratic
x
y
a) State the co-ordinates of the maximum turning point
c) State the y-intercept 2
b) State the equation of the axis of symmetry 1
y = 6 - (x - 1)2
3
2
2
x
y
-4
y = x2
+ 4x
10. x
y
Q5. Solve this quadratic equation by factorising
x2
- 6x + 5 = 0
Q6. Solve x2
- 6x + 4 = 0 by using the quadratic formula
-b ± b2
- 4ac
2a
x = ,where ax2
+ bx + c = 0
Give answers correct to 2 decimal places
2
4
Q4. The parabolas below are of the form:
x
y
(5,1)
Write down the equation of each parabola
y = (x - a)2
+ b y = b - (x - a)2
or
a) b)
x
y
(-3,4)
4
24 marks
Q7. Find the co-ordinates of A, B and C
4
A B
C
y = x2
- 6x