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Grade 11

Single transformations

Interactive practice questions

If the graph of $y=2^x$y=2x is moved down by $7$7 units, what is its new equation?

$y=2^{\left(x-7\right)}$y=2(x7)

A

$y=2^x-7$y=2x7

B

$y=2^x+7$y=2x+7

C

$y=2^{7x}-7$y=27x7

D
Easy
< 1min

This is a graph of $y=3^x$y=3x.

Easy
1min

Consider a graph of $y=3^x$y=3x.

Easy
1min

Consider the function $y=9^x+5$y=9x+5.

Easy
1min
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Outcomes

11U.B.1.4

Determine, through investigation, and describe key properties relating to domain and range, intercepts, increasing/decreasing intervals, and asymptotes for exponential functions represented in a variety of ways

11U.B.2.2

Determine, through investigation using technology, the roles of the parameters a, k, d, and c in functions of the form y = af(k(x – d)) + c, and describe these roles in terms of transformations on the graph of f(x) = a^x (a > 0, a ≠ 1)

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