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Quadratics review
Quadratics review
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Quadratic basics algebra
Flashcards
32 cards
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Practice quiz
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Questions
32
Answers
1
What would be this function in its factorised form?
(x + 4)(x - 3)
(x + 3)(x + 4)
(x - 3)(x - 4)
x(x + 3)
2
Use your GDC to solve
x
2
+ 8x + 12 = 0
x = -6 x = -2
x = 5
no real roots
x = 1 x = 3
3
Use your GDC to solve
x
2
- 20 = 0
x = 4.47 x = -4.47
x = -10 x = 10
x = 20
no real roots
4
Factorise
x
2
+ 7x + 12
(x - 3)(x - 4)
(x + 6)(x + 2)
(x + 1)(x + 12)
(x + 3)(x + 4)
5
Use your GDC to solve
x
2
- 9x = 0
x = 3
no real roots
x = -1 x = 9
x = 0 x = 9
6
Use your GDC (or otherwise) to find the
coordinates
of the vertex for
f(x) = 3x
2
1
(0, 0)
(1, 0)
(1, 1)
7
Factorise
x
2
+ 9x + 20
(x + 9)(x + 1)
(x - 5)(x - 4)
(x + 10)(x + 2)
(x + 4)(x + 5)
8
For
f(x) = x
2
+ 7
find
f(3)
10
16
7
3
9
Factorise
x
2
- 10x + 16
(x - 10)(x - 6)
(x + 4)(x + 4)
(x - 8)(x - 2)
(x + 8)(x + 2)
10
Use your GDC to find the
coordinates
of the vertex for
f(x) = -x
2
+ 2x
(0, 0)
(1, 1)
1
(1, 0)
11
Use the formula to find the equation for the axis of symmetry for
y = x
2
- 7x
x = -7
x = 3.5
x = -3.5
x = 7
12
What are the coordinates of the vertex of the graphed quadratic function?
(-3, 1)
(0, 0)
(-4, 0) (-2, 0)
x = -3
13
Which of these is an equation of a
quadratic
function?
y = 2x3 + 5
y = 2x + 5
y = 2x + 5
y = 2x2 +5
14
Use the formula to calculate the equation of the axis of symmetry for
y = 2x
2
+ 12x - 5
x = -6
x = 3
x = 6
x = -3
15
For
f(x) = x
2
+ 2x + 1
find
f(4)
20
1
3
25
16
How many solutions
(x-intercepts)
does the quadratic function in the graph have?
0
2
1
∞
17
Is the value of a positive or negative for this functions
positive
negative
18
What is the equation of the axis of symmetry for this graph?
x = 1
x = 2
x = ∞
x=-1
19
What would be this function in its factorised form?
(x - 4)(x - 4)
(x + 4)(x + 4)
x(x + 4)
(x + 4)(x - 1)
20
What are the solution(s)
(x-intercepts)
to the quadratic function?
∞
(0, -3)
(-1, 0), (3, 0)
(-2, 0), (4, 0)
21
What would be this function in its factorised form?
(x - 6)(x + 1)
x(x + 1)
(x + 6)(x - 1)
(x - 6)(x - 6)
22
What are the coordinates of the vertex?
(-1, 0)
(3, 0)
(1, -4)
(0, 0)
23
Use your GDC to solve
2x
2
- 3x + 1 = 0
no real roots
x = 1 x = 0.5
x = -1 x = 2
x = 3
24
What would be this function in its factorised form?
(x + 4)(x + 4)
x(x + 4)
(x + 4)(x - 1)
(x - 4)(x - 4)
25
What are the solutions of the graphed quadratic function for f(x) = 0 ?
(-4, 0) (-2, 0)
x = -3
(-3, 1)
(0, 0)
26
Use your GDC to solve
3x
2
- 3x + 5 = 0
no real roots
x = 1 x = 0.5
x = -1 x = 2
x = 3
27
Use the formula to find the equation for the axis of symmetry for
y = x
2
+ 6x - 9
x = 6
x = -6
x = -3
x = 3
28
What would be this function in its factorised form?
(x + 1)(x + 4)
(x + 1)(x - 4)
(x - 1)(x - 4)
x(x - 4)
29
Use your GDC to find the
coordinates
of the vertex for
f(x) = x
2
+ 5x + 1
(-2, -5)
-2.5
(-2.5, -5.25)
(-7.5, 3.4)
30
What is the equation of the axis of symmetry of the graphed quadratic function?
(-3, 1)
(-4, 0) (-2, 0)
x = -3
(0, 0)
31
What is the equation of this quadratic?
y = x2
y = 2x
y = x2 + x + 1
y = x
32
What would be this function in its factorised form?
x(x + 3)
(x + 1)(x - 2)
- (x - 1)(x - 2)
- (x + 1)(x - 2)
