Exponential Function Transformations

What is the general form of an exponential function?

• y = a * b^x

• y = a + b^x

• y = a / b^x

• y = a * b*x

Tags

CCSS.HSF.LE.A.2

How does the value of 'a' in the function y = a^x affect the graph of the exponential function?

• It makes the graph flatter and rise more slowly.

• It makes the graph steeper and rise more quickly.

• It makes the graph shift horizontally.

• It has no effect on the graph.

Tags

CCSS.HSF-IF.C.7E

Explain how the value of 'b' in the function y = 2^bx affects the graph of the exponential function.

• It determines the x-intercept of the graph.

• It has no effect on the graph.

• It determines the steepness or slope of the graph.

• It changes the color of the graph.

Tags

CCSS.HSF-IF.C.7E

Describe the transformation when the function y = 3^x is changed to y = 3^(x+2).

• Shifted 2 units to the left

• Remained unchanged

• Shifted 2 units downward

• Shifted 2 units to the right

Tags

CCSS.HSF.BF.B.3

If the function y = 4^x is reflected over the x-axis, what will be the new function?

• y = -4^-x

• y = 4^-x

• y = -4x

• y = -4^x

Tags

CCSS.HSF.BF.B.3

What happens to the graph of the function y = 5^x when it is compressed horizontally by a factor of 2?

• The graph of y = 5^x is compressed towards the x-axis.

• The graph of y = 5^x is stretched horizontally by a factor of 2.

• The graph of y = 5^x remains unchanged after the horizontal compression.

• The graph of y = 5^x is compressed towards the y-axis.

Tags

CCSS.HSF.BF.B.3

Explain the effect of the value of 'c' in the function y = 6^(x-c) on the graph of the exponential function.

• Has no effect on the graph

• Shifts the graph horizontally to the right or left

• Reflects the graph over the x-axis

• Stretches the graph vertically

Tags

CCSS.HSF.BF.B.3

If the function y = 7^x is shifted 3 units to the right, what will be the new function?

• y = 7^(x-3)

• y = 7^(x+7)

• y = 7^(x-7)

• y = 7^(x+3)

Tags

CCSS.HSF.BF.B.3

Describe the transformation when the function y = 8^x is changed to y = 8^(x-4).

• Shift to the left by 4 units

• No transformation

• Shift to the right by 4 units

• Reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

How does the value of 'd' in the function y = 9^(x+d) affect the graph of the exponential function?

• It changes the color of the graph.

• It makes the graph steeper.

• It has no effect on the graph.

• It shifts the graph horizontally.

Tags

CCSS.HSF.BF.B.3