Exponential Transformation

If f(x)=2^x what is the equation for g(x) = -f(x) and the type of transformation that was made?

• -2^x a strecth

• -2^x a reflection on X axis

• 2^-x a vertical shift up

• 2^-x a vertical shift down

What transformation is g(x) = f(-x) if f(x) is 2^x

• f(-x) always means a horizontal shift

• f(-x) always means a reflection on the Y Axis

• f(-x) always means a vertical shift

• f(-x) always means a reflection on the X Axis

How would you create a Horizontal shift right of 4 units to the function f(x) = 3^x

• g(x) = 3^(x-4)

• g(x) =3^4x

• g(x)=4(3^x)

• g(x)=-4(3^x)

Create a stretch of 3 on function f(x) = 2^x to make g(x)

• g(x) = 2^x+3

• g(x) = 2^x-1

• g(x) = 6^x

• g(x)) = 3(2^x)

A point on a exponential curve is (2, 3) where would the point be if the curve was reflected on the X Axis

• (2, -3)

• (-2, -3)

• (-2, 3)

• (2, 4)

Where is the point (3, 4) if it is reflected on Y Axis?

• (3, -4

• (-3, 3)

• (-3, 4)

• (4, 3)

What would f(x-4) do to the point (2, 3)

• (4,3)

• (6, 3)

• (2, 7)

• (-2, 3)

f(x) = 2^x is shifted 4 units up, what is the new g(x)?

• g(x) = (2+4)x

• g(x) = 4 (2^x)

• g(x) = 2^x+4

• g(x) = 6^x

To condense a function you do what to f(x)

• g(x) =f(x) - 2

• g(x0 = f(x-2)

• g(x) = 2f(x)

• g(x) = 0.5f(x)

Transform a function f(x) that describes the top shape of a fish to stretch it, so it's vertical size is 5 times larger. The lower shape of the fish h(x) remains exactly the same.

• g(x) =f(5x)

• g(x) = 5f(x)

• g(x) = 1/5 f(x)

• g(x) = f(x) + 5