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CanadaON
Grade 11

Identify Characteristics of Hyperbolas

Interactive practice questions

The four quadrants on the coordinate axes are labelled $1$1 to $4$4 counterclockwise, starting with $1$1 in the quadrant where $\left(2,3\right)$(2,3) lies.

a

In which quadrant are $x$x and $y$y values both positive?

$2$2

A

$3$3

B

$4$4

C

$1$1

D
b

In which quadrant are $x$x and $y$y values both negative?

$1$1

A

$4$4

B

$2$2

C

$3$3

D
c

In which quadrant is $x$x positive and $y$y negative?

$4$4

A

$3$3

B

$2$2

C

$1$1

D
d

In which quadrant is $y$y positive and $x$x negative?

$2$2

A

$1$1

B

$4$4

C

$3$3

D
Easy
1min

The $x$x and $y$y values of a point on the coordinate plane multiply to give $9$9.

Easy
1min

Consider the expression $\frac{2}{x}$2x for $x>0$x>0.

Easy
1min

Consider the expression $\frac{3}{x}$3x for $x<0$x<0.

Easy
1min
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Outcomes

11U.A.1.8

Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = a f (k(x – d)) + c, and describe these roles in terms of transformations on the graphs of f(x) = x, f(x) = x^2 , f(x) = sqrt(x) and f(x) = 1/x

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