Graphing Exponential Functions Concepts

Graphing Exponential Functions Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to graph the equation y = -2^(x+2) by first graphing the parent function y = 2^x. It uses a table of values to plot the base graph and identifies key transformations such as reflection over the x-axis and translation to the left. The tutorial guides students through applying these transformations to finalize the graph.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing the equation y = -2^(x+2)?

Graph y = 2^x

Graph y = 2^(x+2)

Graph y = -2^(x)

Graph y = -2^x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using a table of values when graphing y = 2^x?

To find the slope of the graph

To identify the y-intercept

To determine the x-intercept

To plot key points on the graph

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where does the parent graph y = 2^x always cross the y-axis?

At (1, 1)

At (0, 0)

At (1, 0)

At (0, 1)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the negative sign in the equation y = -2^(x+2) indicate?

A shift upwards

A reflection over the x-axis

A reflection over the y-axis

A shift to the right

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you reflect a point over the x-axis?

Invert the y-coordinate

Subtract 1 from both coordinates

Invert the x-coordinate

Add 1 to both coordinates

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the point (1, 2) when it is reflected over the x-axis?

(-1, -2)

(-1, 2)

(2, 1)

(1, -2)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the x+2 in the equation y = -2^(x+2) indicate?

A shift 2 units to the right

A shift 2 units to the left

A shift 2 units up

A shift 2 units down

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