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CanadaON
Grade 12

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

12CT.A.1.1

Determine, through investigation with technology, and describe the impact of changing the base and changing the sign of the exponent on the graph of an exponential function

12CT.A.1.3

Determine, through investigation using graphing technology, the point of intersection of the graphs of two exponential functions (e.g., y = 4^-x and y = 8^(x+3) ), recognize the x-coordinate of this point to be the solution to the corresponding exponential equation (e.g., 4^x = 8^(x+3) ), and solve exponential equations graphically

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