Free Printable QUADRATIC FUNCTIONS AND EQN IN ONE VAR

1.

Determine the values of a, b and c for $1-x\ -2x\ ^2$

a)

$A\ \ \ \ \ \ \ \ \ \ a\ =\ 1,\ b\ =\ -1,\ c\ =\ -2$

b)

$B\ \ \ \ \ \ \ \ \ a\ =\ -2\ ,\ b\ =\ -1,\ c\ =\ 1$

c)

$C\ \ \ \ \ \ \ \ \ a\ =\ 2,\ b\ =\ 1,\ c\ =\ 1$

d)

$D\ \ \ \ \ \ \ \ a\ =\ -2,\ b\ =\ 1,\ c\ =\ 1$

2.

Which of the following is a quadratic expression in one variable?

a)

$A\ \ \ \ \ 3x^2\ +\ 8x\ -\ 9\ =\ 0$

b)

$B\ \ \ \ \ \ 2x^2\ +\ 4x\$

c)

$C\ \ \ \ \ 5x^3\ -\ 2x^{2\ }+\ 4x\ -\ 9$

d)

$D\ \ \ \ \frac{2}{x}\ +\ 4x\ =\ 3$

3.

The diagram above shows two graphs of quadratic

functions, $y\ =\ f\left(x\right)\ and\ y\ =\ g\left(x\right)$ , drawn on the same axes. State the range of the values of p.

a)

$A\ \ \ \ \ \ \ \ \ \ \ 0<\ p\ <\ 4$

b)

$B\ \ \ \ \ \ \ \ \ \ \ \ \ 0\ >\ p\ >4$

c)

$C\ \ \ \ \ \ \ \ \ \ \ \ -4\ <\ p\ <0$

d)

$D\ \ \ \ \ \ \ \ \ \ \ -4\ >\ p\ >0$

4.

The quadratic function below , passes through point (2, -3). Calculate the value of c

f\left(x\right)\ =\ 2x^2\ -4x\ +\ c

a)

$A\ \ \ \ \ \ \ \ \ -4$

b)

$B\ \ \ \ \ \ \ \ \ \ \ \ 3$

c)

$C\ \ \ \ \ \ -3$

d)

$D\ \ \ \ \ \ \ \ \ \ \ 4$

5.

The diagram shows the graph of a quadratic

function $f\left(x\right)\ =\ kx^2\ +\ 6x\ +\ h$ .Point A(3, 14) is the maximum point of the graph of quadratic function.

Given k is an integer where –2 < k < 2, state the

value of k.

a)

$A\ \ \ \ \ \ \ \ \ \ \ \ \ 2$

b)

$B\ \ \ \ \ \ \ \ \ \ -2$

c)

$C\ \ \ \ \ \ \ \ \ \ \ \ \ 1$

d)

$D\ \ \ \ \ \ \ \ \ \ -1$

6.

What is the shape of the function

f\left(x\right)\ =\ -x^2\ +\ 2x\ -4

a)

$A\ \ \ \ \ \ \ \ \ \ \ \ \cup$

b)

$B\ \ \ \ \ \ \ \ \ \ \ \cap$

c)

$C\ \ \ \ \ \ \ \ \ \subset$

d)

$D\ \ \ \ \ \ \ \ \ \supset$

7.

State whether the graph has maximum or minimum point. $Hence,\ state\ the\ \max imum\ or\ \min imum\ point.\$

a)

$A\ \ \ \ \ \ \ \ \ \ Minimum\ ,\ \left(4\ ,\ -15\right)$

b)

$B\ \ \ \ \ \ \ \ \ \ Maximum\ ,\ \left(4\ ,\ -15\right)$

c)

$C\ \ \ \ \ \ \ \ Minimum\ ,\ \left(0\ ,\ -15\right)$

d)

$D\ \ \ \ \ \ \ Maximum\ ,\ \left(0\ ,\ -15\right)$

8.

State the equation of the $axes\ of\ symmetry$ for

the graph of quadratic function above

a)

$A\ \ \ \ \ \ \ \ \ \ y\ =\ 2$

b)

$B\ \ \ \ \ \ \ \ \ \ \ x\ =\ 3$

c)

$C\ \ \ \ \ \ \ \ \ x\ =\ 2$

d)

$D\ \ \ \ \ \ \ \ \ y\ =\ 3$

9.

What is the $type\ of\ relation$ of a quadratic function?

a)

$A\ \ \ \ \ \ many\ to\ many\ relation$

b)

$B\ \ \ \ \ \ many\ to\ one\ relation$

c)

$C\ \ \ \ \ one\ to\ one\ relation$

d)

$D\ \ \ \ \ one\ to\ many\ relation$

10.

If the length of a rectangle is $3q\ +\ 3$ and the width is $q-4$ . Express the function of the area of rectangle.

a)

$A\ \ \ \ \ 3q^2\ +\ 9q\ -12$

b)

$B\ \ \ \ \ 3q^2-\ 15q\ +\ 12$

c)

$C\ \ \ \ \ 3q^2\ -\ 9q\ -12$

d)

$D\ \ \ \ \ 3q^2\ -8q\ -\ 12$

QUADRATIC FUNCTIONS AND EQN IN ONE VAR

Total questions: 10

Worksheet time: 19mins

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