Exploring Unit 6 Section 1 Concepts

What is the parent function of exponential functions?

• f(x) = B^x

• f(x) = x^2

• f(x) = log(x)

• f(x) = e^x

In the transformation equation g(x) = a * B^(x + c) + d, what does the parameter 'a' affect?

• Compression or stretch

• Vertical shift

• Horizontal shift

• Reflection across the y-axis

If a function is shifted 2 units to the left, what happens to the parameter 'c'?

• It is decreased by 2

• It is increased by 2

• It is multiplied by 2

• It remains the same

What is the effect of shifting a function 2 units to the right?

• Subtract 2 from 'c'

• Add 2 to 'c'

• Divide 'c' by 2

• Multiply 'c' by 2

When a function is shifted down by 5 units, what happens to the parameter 'd'?

• It remains the same

• It is increased by 5

• It is decreased by 5

• It is multiplied by 5

What does a vertical stretch by a factor of 2 do to the parameter 'a'?

• Divides 'a' by 2

• Multiplies 'a' by 2

• Adds 2 to 'a'

• Subtracts 2 from 'a'

How is the parameter 'a' affected when a function is compressed by a factor of 2?

• It is multiplied by 2

• It is divided by 2

• It is subtracted by 2

• It is added by 2

What happens to the parameter 'd' when a function is shifted up by 3 units?

• It is multiplied by 3

• It is increased by 3

• It is decreased by 3

• It remains the same

What does reflecting a function across the asymptote do to the parameter 'a'?

• Multiplies 'a' by -1

• Divides 'a' by -1

• Adds 1 to 'a'

• Subtracts 1 from 'a'

Where should the negative sign be placed when reflecting a function across the asymptote?

• Next to the parameter 'c'

• Inside the parentheses

• Outside the parentheses

• Next to the parameter 'b'