What are the three steps to writing an exponential equation from a graph, according to the video?

1. Make a table using points from the graph. 2. Find the growth rate and starting value. 3. Write the equation y = a * b^x.

In the exponential equation y = a * b^x, what do 'a' and 'b' represent?

'a' represents the starting value or y-intercept, and 'b' represents the growth rate.

The growth rate is calculated by dividing the 'new' y-value by the 'old' y-value (new / old).

The y-intercept represents the starting value (a) in the equation y = a * b^x.

Grade 9th Grade · Math · 45 min

I can write an exponential equation to represent a graphed function.

Kayla Jones · 4:24

Writing Exponential Functions from Graphs

3 key concepts

1
The general form of an exponential function is y = a * b^x, where 'a' represents the starting value or y-intercept and 'b' represents the growth rate.
2
To write an exponential function from a graph, first create a table using points from the graph, then find the growth rate and starting value.
3
The growth rate ('b') can be found by dividing the 'new' y-value by the 'old' y-value, using the formula new/old, and the y-intercept is the value of 'y' when x is zero.

10 questions · Multiple choice & Short answer

Quick comprehension check

“Write an exponential equation in the form y=a⋅bˣ that represents the graphed function which passes through the points (0, 3) and (1, 6).”

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